89152560 has 360 divisors, whose sum is σ = 368503200. Its totient is φ = 19305216.

The previous prime is 89152543. The next prime is 89152571. The reversal of 89152560 is 6525198.

It is a happy number.

89152560 is a `hidden beast` number, since 8 + 91 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4692231 + ... + 4692249.

It is an arithmetic number, because the mean of its divisors is an integer number (1023620).

Almost surely, 2^89152560 is an apocalyptic number.

89152560 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 89152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184251600).

89152560 is an abundant number, since it is smaller than the sum of its proper divisors (279350640).

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

89152560 is a wasteful number, since it uses less digits than its factorization.

89152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 89152560 is about 9442.0633338270. The cubic root of 89152560 is about 446.7294731118.

The spelling of 89152560 in words is "eighty-nine million, one hundred fifty-two thousand, five hundred sixty".