89951400 has 432 divisors, whose sum is σ = 385912800. Its totient is φ = 18374400.

The previous prime is 89951371. The next prime is 89951401. The reversal of 89951400 is 415998.

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 (89951401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1524571 + ... + 1524629.

Almost surely, 2^89951400 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 89951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

89951400 is an abundant number, since it is smaller than the sum of its proper divisors (295961400).

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

89951400 is a wasteful number, since it uses less digits than its factorization.

89951400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89951400 is about 9484.2711897119. The cubic root of 89951400 is about 448.0597948462.

The spelling of 89951400 in words is "eighty-nine million, nine hundred fifty-one thousand, four hundred".