89467872 has 96 divisors (see below), whose sum is σ = 267859872. Its totient is φ = 25903104.

The previous prime is 89467841. The next prime is 89467879. The reversal of 89467872 is 27876498.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89467879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19108 + ... + 23324.

It is an arithmetic number, because the mean of its divisors is an integer number (2790207).

Almost surely, 2^89467872 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 89467872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929936).

89467872 is an abundant number, since it is smaller than the sum of its proper divisors (178392000).

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

89467872 is a wasteful number, since it uses less digits than its factorization.

89467872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4252 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 89467872 is about 9458.7457942372. The cubic root of 89467872 is about 447.2555130709.

The spelling of 89467872 in words is "eighty-nine million, four hundred sixty-seven thousand, eight hundred seventy-two".