90378624 has 64 divisors (see below), whose sum is σ = 274371840. Its totient is φ = 25821696.

The previous prime is 90378623. The next prime is 90378641. The reversal of 90378624 is 42687309.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×90378624² = 16336591352266752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90378623) 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, 14124 + ... + 19499.

It is an arithmetic number, because the mean of its divisors is an integer number (4287060).

Almost surely, 2^90378624 is an apocalyptic number.

It is an amenable number.

90378624 is an abundant number, since it is smaller than the sum of its proper divisors (183993216).

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

90378624 is a wasteful number, since it uses less digits than its factorization.

90378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33647 (or 33635 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 90378624 is about 9506.7672738949. The cubic root of 90378624 is about 448.7680278189.

The spelling of 90378624 in words is "ninety million, three hundred seventy-eight thousand, six hundred twenty-four".