89993400 has 144 divisors (see below), whose sum is σ = 324633240. Its totient is φ = 20563200.

The previous prime is 89993383. The next prime is 89993413. The reversal of 89993400 is 439998.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 27870 + ... + 30930.

Almost surely, 2^89993400 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 89993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162316620).

89993400 is an abundant number, since it is smaller than the sum of its proper divisors (234639840).

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

89993400 is a wasteful number, since it uses less digits than its factorization.

89993400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 89993400 is about 9486.4851235850. The cubic root of 89993400 is about 448.1295198430.

The spelling of 89993400 in words is "eighty-nine million, nine hundred ninety-three thousand, four hundred".