90502800 has 120 divisors (see below), whose sum is σ = 295588224. Its totient is φ = 23662080.

The previous prime is 90502799. The next prime is 90502801. The reversal of 90502800 is 820509.

It is an interprime number because it is at equal distance from previous prime (90502799) and next prime (90502801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (90502801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62889 + ... + 64311.

Almost surely, 2^90502800 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 90502800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147794112).

90502800 is an abundant number, since it is smaller than the sum of its proper divisors (205085424).

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

90502800 is a wasteful number, since it uses less digits than its factorization.

90502800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90502800 is about 9513.2959588147. The cubic root of 90502800 is about 448.9734625182.

The spelling of 90502800 in words is "ninety million, five hundred two thousand, eight hundred".