89455872 has 72 divisors (see below), whose sum is σ = 259751520. Its totient is φ = 27105280.

The previous prime is 89455843. The next prime is 89455889. The reversal of 89455872 is 27855498.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3154 + ... + 13742.

It is an arithmetic number, because the mean of its divisors is an integer number (3607660).

Almost surely, 2^89455872 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 89455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129875760).

89455872 is an abundant number, since it is smaller than the sum of its proper divisors (170295648).

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

89455872 is a wasteful number, since it uses less digits than its factorization.

89455872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619 (or 10605 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 89455872 is about 9458.1114393942. Note that the first 3 decimals coincide. The cubic root of 89455872 is about 447.2355159255.

The spelling of 89455872 in words is "eighty-nine million, four hundred fifty-five thousand, eight hundred seventy-two".