40672656 has 90 divisors (see below), whose sum is σ = 118024998. Its totient is φ = 13067520.

The previous prime is 40672631. The next prime is 40672661. The reversal of 40672656 is 65627604.

It can be written as a sum of positive squares in only one way, i.e., 24800400 + 15872256 = 4980^2 + 3984^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40672656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 489991 + ... + 490073.

Almost surely, 2^40672656 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 40672656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59012499).

40672656 is an abundant number, since it is smaller than the sum of its proper divisors (77352342).

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

40672656 is a wasteful number, since it uses less digits than its factorization.

40672656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40672656 is about 6377.5117404831. The cubic root of 40672656 is about 343.9015853321.

It can be divided in two parts, 40672 and 656, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 40672656 in words is "forty million, six hundred seventy-two thousand, six hundred fifty-six".