89168400 has 360 divisors, whose sum is σ = 345406464. Its totient is φ = 21196800.

The previous prime is 89168393. The next prime is 89168407. The reversal of 89168400 is 486198.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89168393) and next prime (89168407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×89168400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89168407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897177 + ... + 1897223.

Almost surely, 2^89168400 is an apocalyptic number.

89168400 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 89168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172703232).

89168400 is an abundant number, since it is smaller than the sum of its proper divisors (256238064).

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

89168400 is a wasteful number, since it uses less digits than its factorization.

89168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89168400 is about 9442.9020962837. The cubic root of 89168400 is about 446.7559287956.

The spelling of 89168400 in words is "eighty-nine million, one hundred sixty-eight thousand, four hundred".