40590864 has 60 divisors (see below), whose sum is σ = 115485292. Its totient is φ = 13305600.

The previous prime is 40590857. The next prime is 40590871. The reversal of 40590864 is 46809504.

40590864 is a `hidden beast` number, since 4 + 0 + 590 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (40590857) and next prime (40590871).

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 33872400 = 2592^2 + 5820^2 .

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

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, 6474 + ... + 11094.

Almost surely, 2^40590864 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 40590864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57742646).

40590864 is an abundant number, since it is smaller than the sum of its proper divisors (74894428).

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

40590864 is a wasteful number, since it uses less digits than its factorization.

40590864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40590864 is about 6371.0959810695. The cubic root of 40590864 is about 343.6709039393.

The spelling of 40590864 in words is "forty million, five hundred ninety thousand, eight hundred sixty-four".