89820160 has 88 divisors (see below), whose sum is σ = 220191696. Its totient is φ = 35143680.

The previous prime is 89820131. The next prime is 89820161. The reversal of 89820160 is 6102898.

It is a super-2 number, since 2×89820160² = 16135322284851200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89820161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271195 + ... + 271525.

Almost surely, 2^89820160 is an apocalyptic number.

89820160 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 89820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110095848).

89820160 is an abundant number, since it is smaller than the sum of its proper divisors (130371536).

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

89820160 is a wasteful number, since it uses less digits than its factorization.

89820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 89820160 is about 9477.3498405409. The cubic root of 89820160 is about 447.8417808634.

The spelling of 89820160 in words is "eighty-nine million, eight hundred twenty thousand, one hundred sixty".