90399264 has 96 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 27546624.

The previous prime is 90399263. The next prime is 90399277. The reversal of 90399264 is 46299309.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (90399263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52042 + ... + 53750.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^90399264 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 90399264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

90399264 is an abundant number, since it is smaller than the sum of its proper divisors (168152736).

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

90399264 is a wasteful number, since it uses less digits than its factorization.

90399264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 90399264 is about 9507.8527544341. The cubic root of 90399264 is about 448.8021873235.

The spelling of 90399264 in words is "ninety million, three hundred ninety-nine thousand, two hundred sixty-four".