40896864 has 72 divisors (see below), whose sum is σ = 117025272. Its totient is φ = 13547520.

The previous prime is 40896857. The next prime is 40896887. The reversal of 40896864 is 46869804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60432 + ... + 61104.

It is an arithmetic number, because the mean of its divisors is an integer number (1625351).

Almost surely, 2^40896864 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 40896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58512636).

40896864 is an abundant number, since it is smaller than the sum of its proper divisors (76128408).

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

40896864 is a wasteful number, since it uses less digits than its factorization.

40896864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 40896864 is about 6395.0655977871. The cubic root of 40896864 is about 344.5323468412.

The spelling of 40896864 in words is "forty million, eight hundred ninety-six thousand, eight hundred sixty-four".