89312832 has 168 divisors, whose sum is σ = 310018176. Its totient is φ = 23998464.

The previous prime is 89312813. The next prime is 89312851. The reversal of 89312832 is 23821398.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89312813) and next prime (89312851).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 67893 + ... + 69195.

Almost surely, 2^89312832 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 89312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155009088).

89312832 is an abundant number, since it is smaller than the sum of its proper divisors (220705344).

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

89312832 is a wasteful number, since it uses less digits than its factorization.

89312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 89312832 is about 9450.5466508557. The cubic root of 89312832 is about 446.9970121266.

The spelling of 89312832 in words is "eighty-nine million, three hundred twelve thousand, eight hundred thirty-two".