40890624 has 72 divisors (see below), whose sum is σ = 111847680. Its totient is φ = 13252608.

The previous prime is 40890607. The next prime is 40890677. The reversal of 40890624 is 42609804.

It is a super-2 number, since 2×40890624² = 3344086262218752, which contains 22 as substring.

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, 27697 + ... + 29135.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440).

Almost surely, 2^40890624 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 40890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840).

40890624 is an abundant number, since it is smaller than the sum of its proper divisors (70957056).

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

40890624 is a wasteful number, since it uses less digits than its factorization.

40890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40890624 is about 6394.5777030231. The cubic root of 40890624 is about 344.5148231569.

It can be divided in two parts, 40890 and 624, that added together give a palindrome (41514).

The spelling of 40890624 in words is "forty million, eight hundred ninety thousand, six hundred twenty-four".