90722400 has 144 divisors (see below), whose sum is σ = 298980864. Its totient is φ = 23892480.

The previous prime is 90722393. The next prime is 90722431. The reversal of 90722400 is 422709.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247017 + ... + 247383.

It is an arithmetic number, because the mean of its divisors is an integer number (2076256).

Almost surely, 2^90722400 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 90722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149490432).

90722400 is an abundant number, since it is smaller than the sum of its proper divisors (208258464).

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

90722400 is a wasteful number, since it uses less digits than its factorization.

90722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

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

The square root of 90722400 is about 9524.8307071570. The cubic root of 90722400 is about 449.3363055645.

The spelling of 90722400 in words is "ninety million, seven hundred twenty-two thousand, four hundred".