89254872 has 144 divisors (see below), whose sum is σ = 291924360. Its totient is φ = 25474176.

The previous prime is 89254871. The next prime is 89254877. The reversal of 89254872 is 27845298.

89254872 = 58³ + 59³ + ... + 138³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89254871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94788 + ... + 95724.

Almost surely, 2^89254872 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 89254872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145962180).

89254872 is an abundant number, since it is smaller than the sum of its proper divisors (202669488).

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

89254872 is a wasteful number, since it uses less digits than its factorization.

89254872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 89254872 is about 9447.4796639104. The cubic root of 89254872 is about 446.9002975686.

The spelling of 89254872 in words is "eighty-nine million, two hundred fifty-four thousand, eight hundred seventy-two".