89412960 has 384 divisors, whose sum is σ = 365783040. Its totient is φ = 17842176.

The previous prime is 89412943. The next prime is 89412971. The reversal of 89412960 is 6921498.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1004596 + ... + 1004684.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^89412960 is an apocalyptic number.

89412960 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 89412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

89412960 is an abundant number, since it is smaller than the sum of its proper divisors (276370080).

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

89412960 is a wasteful number, since it uses less digits than its factorization.

89412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 89412960 is about 9455.8426382845. The cubic root of 89412960 is about 447.1639914982.

The spelling of 89412960 in words is "eighty-nine million, four hundred twelve thousand, nine hundred sixty".