89527680 has 320 divisors, whose sum is σ = 351006480. Its totient is φ = 21565440.

The previous prime is 89527667. The next prime is 89527733. The reversal of 89527680 is 8672598.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570162 + ... + 570318.

Almost surely, 2^89527680 is an apocalyptic number.

89527680 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 89527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175503240).

89527680 is an abundant number, since it is smaller than the sum of its proper divisors (261478800).

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

89527680 is a wasteful number, since it uses less digits than its factorization.

89527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 89527680 is about 9461.9067845757. The cubic root of 89527680 is about 447.3551521883.

The spelling of 89527680 in words is "eighty-nine million, five hundred twenty-seven thousand, six hundred eighty".