90553824 has 36 divisors (see below), whose sum is σ = 257513256. Its totient is φ = 30184512.

The previous prime is 90553823. The next prime is 90553831. The reversal of 90553824 is 42835509.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90553823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156924 + ... + 157499.

It is an arithmetic number, because the mean of its divisors is an integer number (7153146).

Almost surely, 2^90553824 is an apocalyptic number.

It is an amenable number.

90553824 is an abundant number, since it is smaller than the sum of its proper divisors (166959432).

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

90553824 is a wasteful number, since it uses less digits than its factorization.

90553824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314439 (or 314428 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 90553824 is about 9515.9773013601. The cubic root of 90553824 is about 449.0578213011.

The spelling of 90553824 in words is "ninety million, five hundred fifty-three thousand, eight hundred twenty-four".