40092864 has 112 divisors (see below), whose sum is σ = 126601728. Its totient is φ = 10948608.

The previous prime is 40092847. The next prime is 40092883. The reversal of 40092864 is 46829004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30264 + ... + 31560.

Almost surely, 2^40092864 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 40092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63300864).

40092864 is an abundant number, since it is smaller than the sum of its proper divisors (86508864).

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

40092864 is a wasteful number, since it uses less digits than its factorization.

40092864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40092864 is about 6331.8926080596. The cubic root of 40092864 is about 342.2596434657.

The spelling of 40092864 in words is "forty million, ninety-two thousand, eight hundred sixty-four".