40638624 has 48 divisors (see below), whose sum is σ = 114885792. Its totient is φ = 12503808.

The previous prime is 40638601. The next prime is 40638629. The reversal of 40638624 is 42683604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40638624² = 3302995521226752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40638629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15034 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (2393454).

Almost surely, 2^40638624 is an apocalyptic number.

It is an amenable number.

40638624 is an abundant number, since it is smaller than the sum of its proper divisors (74247168).

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

40638624 is a wasteful number, since it uses less digits than its factorization.

40638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32589 (or 32581 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 40638624 is about 6374.8430568917. The cubic root of 40638624 is about 343.8056410648.

The spelling of 40638624 in words is "forty million, six hundred thirty-eight thousand, six hundred twenty-four".