90265824 has 72 divisors (see below), whose sum is σ = 280039032. Its totient is φ = 27352320.

The previous prime is 90265783. The next prime is 90265841. The reversal of 90265824 is 42856209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11079 + ... + 17414.

It is an arithmetic number, because the mean of its divisors is an integer number (3889431).

Almost surely, 2^90265824 is an apocalyptic number.

It is an amenable number.

90265824 is an abundant number, since it is smaller than the sum of its proper divisors (189773208).

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

90265824 is a wasteful number, since it uses less digits than its factorization.

90265824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28520 (or 28509 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90265824 is about 9500.8328056018. The cubic root of 90265824 is about 448.5812502172.

The spelling of 90265824 in words is "ninety million, two hundred sixty-five thousand, eight hundred twenty-four".