89977872 has 80 divisors (see below), whose sum is σ = 254126592. Its totient is φ = 27310080.

The previous prime is 89977847. The next prime is 89977907. The reversal of 89977872 is 27877998.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23518 + ... + 27074.

Almost surely, 2^89977872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89977872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127063296).

89977872 is an abundant number, since it is smaller than the sum of its proper divisors (164148720).

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

89977872 is a wasteful number, since it uses less digits than its factorization.

89977872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3610 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 57.

The square root of 89977872 is about 9485.6666608099. Note that the first 5 decimals coincide. The cubic root of 89977872 is about 448.1037440437.

The spelling of 89977872 in words is "eighty-nine million, nine hundred seventy-seven thousand, eight hundred seventy-two".