90321264 has 160 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 26922240.

The previous prime is 90321247. The next prime is 90321277. The reversal of 90321264 is 46212309.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 394302 + ... + 394530.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 2^90321264 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 90321264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143740800).

90321264 is an abundant number, since it is smaller than the sum of its proper divisors (197160336).

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

90321264 is a wasteful number, since it uses less digits than its factorization.

90321264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

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

The square root of 90321264 is about 9503.7499967118. The cubic root of 90321264 is about 448.6730688542.

It can be divided in two parts, 9032 and 1264, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 90321264 in words is "ninety million, three hundred twenty-one thousand, two hundred sixty-four".