90960400 has 60 divisors (see below), whose sum is σ = 228056832. Its totient is φ = 34798720.

The previous prime is 90960383. The next prime is 90960413. The reversal of 90960400 is 406909.

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 11 ways as a sum of consecutive naturals, for example, 4257 + ... + 14143.

Almost surely, 2^90960400 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 90960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114028416).

90960400 is an abundant number, since it is smaller than the sum of its proper divisors (137096432).

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

90960400 is a wasteful number, since it uses less digits than its factorization.

90960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 90960400 is about 9537.3161843361. The cubic root of 90960400 is about 449.7288901962.

The spelling of 90960400 in words is "ninety million, nine hundred sixty thousand, four hundred".