90966624 has 48 divisors (see below), whose sum is σ = 272901888. Its totient is φ = 25990272.

The previous prime is 90966611. The next prime is 90966641. The reversal of 90966624 is 42666909.

90966624 = T₄₀₀ + T₄₀₁ + ... + T₈₄₇.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 67012 + ... + 68355.

It is an arithmetic number, because the mean of its divisors is an integer number (5685456).

Almost surely, 2^90966624 is an apocalyptic number.

It is an amenable number.

90966624 is an abundant number, since it is smaller than the sum of its proper divisors (181935264).

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

90966624 is a wasteful number, since it uses less digits than its factorization.

90966624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135387 (or 135379 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 90966624 is about 9537.6424760000. The cubic root of 90966624 is about 449.7391475858.

The spelling of 90966624 in words is "ninety million, nine hundred sixty-six thousand, six hundred twenty-four".