89914160 has 80 divisors (see below), whose sum is σ = 240151296. Its totient is φ = 30668544.

The previous prime is 89914157. The next prime is 89914163. The reversal of 89914160 is 6141998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89914157) and next prime (89914163).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (89914163) 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, 171659 + ... + 172181.

Almost surely, 2^89914160 is an apocalyptic number.

89914160 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 89914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120075648).

89914160 is an abundant number, since it is smaller than the sum of its proper divisors (150237136).

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

89914160 is a wasteful number, since it uses less digits than its factorization.

89914160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 89914160 is about 9482.3077359892. The cubic root of 89914160 is about 447.9979538597.

The spelling of 89914160 in words is "eighty-nine million, nine hundred fourteen thousand, one hundred sixty".