89696160 has 168 divisors, whose sum is σ = 318128580. Its totient is φ = 23887872.

The previous prime is 89696153. The next prime is 89696161. The reversal of 89696160 is 6169698.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 1411344 = 9396^2 + 1188^2 .

It is a super-2 number, since 2×89696160² = 16090802237491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89696161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116256 + ... + 117024.

Almost surely, 2^89696160 is an apocalyptic number.

89696160 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 89696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159064290).

89696160 is an abundant number, since it is smaller than the sum of its proper divisors (228432420).

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

89696160 is an equidigital number, since it uses as much as digits as its factorization.

89696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 89696160 is about 9470.8056679461. The cubic root of 89696160 is about 447.6355986608.

It can be divided in two parts, 8969 and 6160, that added together give a square (15129 = 123²).

The spelling of 89696160 in words is "eighty-nine million, six hundred ninety-six thousand, one hundred sixty".