89567296 has 105 divisors (see below), whose sum is σ = 223981899. Its totient is φ = 35433216.

The previous prime is 89567263. The next prime is 89567299. The reversal of 89567296 is 69276598.

It is a happy number.

The square root of 89567296 is 9464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 44408896 + 45158400 = 6664^2 + 6720^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89567299) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6889786 + ... + 6889798.

Almost surely, 2^89567296 is an apocalyptic number.

89567296 is the 9464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89567296

89567296 is an abundant number, since it is smaller than the sum of its proper divisors (134414603).

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

89567296 is an frugal number, since it uses more digits than its factorization.

89567296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 22 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The cubic root of 89567296 is about 447.4211273455.

The spelling of 89567296 in words is "eighty-nine million, five hundred sixty-seven thousand, two hundred ninety-six".