90872320 has 160 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 28262400.

The previous prime is 90872303. The next prime is 90872321. The reversal of 90872320 is 2327809.

90872320 = T₄₇ + T₄₈ + ... + T₈₁₆.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (90872321) 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, 196890 + ... + 197350.

Almost surely, 2^90872320 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 90872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

90872320 is an abundant number, since it is smaller than the sum of its proper divisors (181360256).

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

90872320 is a wasteful number, since it uses less digits than its factorization.

90872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 90872320 is about 9532.6974146880. The cubic root of 90872320 is about 449.5836808031.

The spelling of 90872320 in words is "ninety million, eight hundred seventy-two thousand, three hundred twenty".