90821504 has 64 divisors (see below), whose sum is σ = 191862000. Its totient is φ = 42749952.

The previous prime is 90821491. The next prime is 90821513. The reversal of 90821504 is 40512809.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 90821504 parts by 13477 straight cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159332 + ... + 159900.

Almost surely, 2^90821504 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 90821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95931000).

90821504 is an abundant number, since it is smaller than the sum of its proper divisors (101040496).

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

90821504 is a wasteful number, since it uses less digits than its factorization.

90821504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 90821504 is about 9530.0316893492. The cubic root of 90821504 is about 449.4998624517.

The spelling of 90821504 in words is "ninety million, eight hundred twenty-one thousand, five hundred four".