89762112 has 168 divisors, whose sum is σ = 290364672. Its totient is φ = 26265600.

The previous prime is 89762089. The next prime is 89762119. The reversal of 89762112 is 21126798.

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

Its product of digits (12096) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89762119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196188 + ... + 196644.

Almost surely, 2^89762112 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 89762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145182336).

89762112 is an abundant number, since it is smaller than the sum of its proper divisors (200602560).

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

89762112 is a wasteful number, since it uses less digits than its factorization.

89762112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 89762112 is about 9474.2868860933. The cubic root of 89762112 is about 447.7452846280.

The spelling of 89762112 in words is "eighty-nine million, seven hundred sixty-two thousand, one hundred twelve".