40932864 has 240 divisors, whose sum is σ = 142990848. Its totient is φ = 11446272.

The previous prime is 40932863. The next prime is 40932901. The reversal of 40932864 is 46823904.

It is a happy number.

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 (40932863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870889 + ... + 870935.

Almost surely, 2^40932864 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 40932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

40932864 is an abundant number, since it is smaller than the sum of its proper divisors (102057984).

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

40932864 is an frugal number, since it uses more digits than its factorization.

40932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40932864 is about 6397.8796487586. The cubic root of 40932864 is about 344.6334102293.

The spelling of 40932864 in words is "forty million, nine hundred thirty-two thousand, eight hundred sixty-four".