89504688 has 160 divisors (see below), whose sum is σ = 294203392. Its totient is φ = 22809600.

The previous prime is 89504683. The next prime is 89504689. The reversal of 89504688 is 88640598.

It is a super-2 number, since 2×89504688² = 16022178347954688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (89504683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135078 + ... + 135738.

Almost surely, 2^89504688 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 89504688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147101696).

89504688 is an abundant number, since it is smaller than the sum of its proper divisors (204698704).

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

89504688 is a wasteful number, since it uses less digits than its factorization.

89504688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 89504688 is about 9460.6917294667. The cubic root of 89504688 is about 447.3168531569.

89504688 divided by its sum of digits (48) gives a palindrome (1864681).

The spelling of 89504688 in words is "eighty-nine million, five hundred four thousand, six hundred eighty-eight".