89540160 has 112 divisors (see below), whose sum is σ = 299313600. Its totient is φ = 22616064.

The previous prime is 89540153. The next prime is 89540167. The reversal of 89540160 is 6104598.

It is an interprime number because it is at equal distance from previous prime (89540153) and next prime (89540167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89540167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15786 + ... + 20694.

Almost surely, 2^89540160 is an apocalyptic number.

89540160 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 89540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149656800).

89540160 is an abundant number, since it is smaller than the sum of its proper divisors (209773440).

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

89540160 is a wasteful number, since it uses less digits than its factorization.

89540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 89540160 is about 9462.5662481168. The cubic root of 89540160 is about 447.3759380610.

The spelling of 89540160 in words is "eighty-nine million, five hundred forty thousand, one hundred sixty".