90891504 has 160 divisors (see below), whose sum is σ = 294266880. Its totient is φ = 26611200.

The previous prime is 90891457. The next prime is 90891509. The reversal of 90891504 is 40519809.

It is a super-2 number, since 2×90891504² = 16522530998764032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90891509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147004 + ... + 147620.

It is an arithmetic number, because the mean of its divisors is an integer number (1839168).

Almost surely, 2^90891504 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 90891504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147133440).

90891504 is an abundant number, since it is smaller than the sum of its proper divisors (203375376).

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

90891504 is a wasteful number, since it uses less digits than its factorization.

90891504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90891504 is about 9533.7035825538. The cubic root of 90891504 is about 449.6153156892.

The spelling of 90891504 in words is "ninety million, eight hundred ninety-one thousand, five hundred four".