40635000 has 320 divisors, whose sum is σ = 164947200. Its totient is φ = 9072000.

The previous prime is 40634963. The next prime is 40635037. The reversal of 40635000 is 53604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40634963) and next prime (40635037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable 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 79 ways as a sum of consecutive naturals, for example, 944979 + ... + 945021.

It is an arithmetic number, because the mean of its divisors is an integer number (515460).

Almost surely, 2^40635000 is an apocalyptic number.

40635000 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 40635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82473600).

40635000 is an abundant number, since it is smaller than the sum of its proper divisors (124312200).

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

40635000 is a wasteful number, since it uses less digits than its factorization.

40635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40635000 is about 6374.5588082627. The cubic root of 40635000 is about 343.7954209953.

Adding to 40635000 its reverse (53604), we get a palindrome (40688604).

The spelling of 40635000 in words is "forty million, six hundred thirty-five thousand".