90123264 has 264 divisors, whose sum is σ = 326995968. Its totient is φ = 23224320.

The previous prime is 90123259. The next prime is 90123277. The reversal of 90123264 is 46232109.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 709569 + ... + 709695.

Almost surely, 2^90123264 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 90123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163497984).

90123264 is an abundant number, since it is smaller than the sum of its proper divisors (236872704).

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

90123264 is a wasteful number, since it uses less digits than its factorization.

90123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90123264 is about 9493.3273408221. The cubic root of 90123264 is about 448.3449723888.

The spelling of 90123264 in words is "ninety million, one hundred twenty-three thousand, two hundred sixty-four".