89888400 has 480 divisors, whose sum is σ = 387475200. Its totient is φ = 19353600.

The previous prime is 89888389. The next prime is 89888431. The reversal of 89888400 is 488898.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2192380 + ... + 2192420.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^89888400 is an apocalyptic number.

89888400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

89888400 is an abundant number, since it is smaller than the sum of its proper divisors (297586800).

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

89888400 is a wasteful number, since it uses less digits than its factorization.

89888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 89888400 is about 9480.9493195566. The cubic root of 89888400 is about 447.9551666444.

It can be divided in two parts, 898 and 88400, that added together give a palindrome (89298).

The spelling of 89888400 in words is "eighty-nine million, eight hundred eighty-eight thousand, four hundred".