40616000 has 56 divisors (see below), whose sum is σ = 100605336. Its totient is φ = 16243200.

The previous prime is 40615969. The next prime is 40616027. The reversal of 40616000 is 61604.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 40246336 = 608^2 + 6344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40616000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5462 + ... + 10538.

Almost surely, 2^40616000 is an apocalyptic number.

40616000 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 40616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50302668).

40616000 is an abundant number, since it is smaller than the sum of its proper divisors (59989336).

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

40616000 is an equidigital number, since it uses as much as digits as its factorization.

40616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40616000 is about 6373.0683347976. The cubic root of 40616000 is about 343.7418290069.

Adding to 40616000 its reverse (61604), we get a palindrome (40677604).

The spelling of 40616000 in words is "forty million, six hundred sixteen thousand".