40006656 has 88 divisors (see below), whose sum is σ = 118562240. Its totient is φ = 13326336.

The previous prime is 40006621. The next prime is 40006663. The reversal of 40006656 is 65660004.

40006656 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 6 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26925 + ... + 28371.

Almost surely, 2^40006656 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 40006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59281120).

40006656 is an abundant number, since it is smaller than the sum of its proper divisors (78555584).

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

40006656 is a wasteful number, since it uses less digits than its factorization.

40006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40006656 is about 6325.0815014512. The cubic root of 40006656 is about 342.0141576164.

The spelling of 40006656 in words is "forty million, six thousand, six hundred fifty-six".