89509680 has 240 divisors, whose sum is σ = 330666336. Its totient is φ = 21565440.

The previous prime is 89509669. The next prime is 89509687. The reversal of 89509680 is 8690598.

89509680 is a `hidden beast` number, since 89 + 509 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (89509687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683215 + ... + 683345.

Almost surely, 2^89509680 is an apocalyptic number.

89509680 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 89509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165333168).

89509680 is an abundant number, since it is smaller than the sum of its proper divisors (241156656).

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

89509680 is a wasteful number, since it uses less digits than its factorization.

89509680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 89509680 is about 9460.9555542767. The cubic root of 89509680 is about 447.3251691616.

The spelling of 89509680 in words is "eighty-nine million, five hundred nine thousand, six hundred eighty".