40690000 has 100 divisors (see below), whose sum is σ = 106431556. Its totient is φ = 14976000.

The previous prime is 40689983. The next prime is 40690007. The reversal of 40690000 is 9604.

40690000 = T₁ + T₂ + ... + T₆₂₄.

It is a happy number.

40690000 is a nontrivial binomial coefficient, being equal to C(626, 3).

It can be written as a sum of positive squares in 10 ways, for example, as 40602384 + 87616 = 6372^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×40690000² = 3311352200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40690000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40690007) by changing a digit.

It is the 624-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129844 + ... + 130156.

Almost surely, 2^40690000 is an apocalyptic number.

40690000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53215778).

40690000 is an abundant number, since it is smaller than the sum of its proper divisors (65741556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40690000 is a wasteful number, since it uses less digits than its factorization.

40690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 40690000 is about 6378.8713735268. The cubic root of 40690000 is about 343.9504615883.

Adding to 40690000 its reverse (9604), we get a palindrome (40699604).

The spelling of 40690000 in words is "forty million, six hundred ninety thousand".