90074400 has 144 divisors (see below), whose sum is σ = 315854784. Its totient is φ = 22164480.

The previous prime is 90074393. The next prime is 90074429. The reversal of 90074400 is 447009.

It is a super-2 number, since 2×90074400² = 16226795070720000, which contains 22 as substring.

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

It is an unprimeable number.

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, 29757 + ... + 32643.

It is an arithmetic number, because the mean of its divisors is an integer number (2193436).

Almost surely, 2^90074400 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 90074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157927392).

90074400 is an abundant number, since it is smaller than the sum of its proper divisors (225780384).

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

90074400 is a wasteful number, since it uses less digits than its factorization.

90074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 90074400 is about 9490.7533947522. The cubic root of 90074400 is about 448.2639282411.

The spelling of 90074400 in words is "ninety million, seventy-four thousand, four hundred".