89680032 has 144 divisors (see below), whose sum is σ = 291007080. Its totient is φ = 25952256.

The previous prime is 89680009. The next prime is 89680033. The reversal of 89680032 is 23008698.

It can be written as a sum of positive squares in 4 ways, for example, as 45643536 + 44036496 = 6756^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (89680033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62944 + ... + 64352.

Almost surely, 2^89680032 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 89680032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145503540).

89680032 is an abundant number, since it is smaller than the sum of its proper divisors (201327048).

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

89680032 is a wasteful number, since it uses less digits than its factorization.

89680032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1444 counting only the distinct ones).

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

The square root of 89680032 is about 9469.9541709556. The cubic root of 89680032 is about 447.6087677103.

The spelling of 89680032 in words is "eighty-nine million, six hundred eighty thousand, thirty-two".