40635864 has 64 divisors (see below), whose sum is σ = 113616000. Its totient is φ = 13456800.

The previous prime is 40635863. The next prime is 40635883. The reversal of 40635864 is 46853604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40635863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38139 + ... + 39189.

It is an arithmetic number, because the mean of its divisors is an integer number (1775250).

Almost surely, 2^40635864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40635864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808000).

40635864 is an abundant number, since it is smaller than the sum of its proper divisors (72980136).

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

40635864 is a wasteful number, since it uses less digits than its factorization.

40635864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 40635864 is about 6374.6265772985. The cubic root of 40635864 is about 343.7978576233.

The spelling of 40635864 in words is "forty million, six hundred thirty-five thousand, eight hundred sixty-four".