90819264 has 112 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 28968960.

The previous prime is 90819251. The next prime is 90819277. The reversal of 90819264 is 46291809.

It is an interprime number because it is at equal distance from previous prime (90819251) and next prime (90819277).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653307 + ... + 653445.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2^90819264 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 90819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

90819264 is an abundant number, since it is smaller than the sum of its proper divisors (160092096).

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

90819264 is a wasteful number, since it uses less digits than its factorization.

90819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 90819264 is about 9529.9141654057. The cubic root of 90819264 is about 449.4961669687.

The spelling of 90819264 in words is "ninety million, eight hundred nineteen thousand, two hundred sixty-four".