90501600 has 144 divisors (see below), whose sum is σ = 336728448. Its totient is φ = 20682240.

The previous prime is 90501599. The next prime is 90501601. The reversal of 90501600 is 610509.

It is an interprime number because it is at equal distance from previous prime (90501599) and next prime (90501601).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90501601) 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, 14107 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (2338392).

Almost surely, 2^90501600 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 90501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168364224).

90501600 is an abundant number, since it is smaller than the sum of its proper divisors (246226848).

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

90501600 is a wasteful number, since it uses less digits than its factorization.

90501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 90501600 is about 9513.2328889815. The cubic root of 90501600 is about 448.9714781578.

The spelling of 90501600 in words is "ninety million, five hundred one thousand, six hundred".