89400192 has 128 divisors (see below), whose sum is σ = 275481600. Its totient is φ = 25159680.

The previous prime is 89400191. The next prime is 89400193. The reversal of 89400192 is 29100498.

It is an interprime number because it is at equal distance from previous prime (89400191) and next prime (89400193).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89400191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212142 + ... + 212562.

It is an arithmetic number, because the mean of its divisors is an integer number (2152200).

Almost surely, 2^89400192 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 89400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137740800).

89400192 is an abundant number, since it is smaller than the sum of its proper divisors (186081408).

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

89400192 is a wasteful number, since it uses less digits than its factorization.

89400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 89400192 is about 9455.1674760419. The cubic root of 89400192 is about 447.1427057635.

The spelling of 89400192 in words is "eighty-nine million, four hundred thousand, one hundred ninety-two".