89617320 has 192 divisors, whose sum is σ = 324129600. Its totient is φ = 22014720.

The previous prime is 89617309. The next prime is 89617321. The reversal of 89617320 is 2371698.

89617320 is a `hidden beast` number, since 8 + 9 + 617 + 32 + 0 = 666.

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 (89617321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182275 + ... + 182765.

It is an arithmetic number, because the mean of its divisors is an integer number (1688175).

Almost surely, 2^89617320 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 89617320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162064800).

89617320 is an abundant number, since it is smaller than the sum of its proper divisors (234512280).

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

89617320 is a wasteful number, since it uses less digits than its factorization.

89617320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 89617320 is about 9466.6424882320. The cubic root of 89617320 is about 447.5044078506.

The spelling of 89617320 in words is "eighty-nine million, six hundred seventeen thousand, three hundred twenty".