89253248 has 128 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 35481600.

The previous prime is 89253221. The next prime is 89253277. The reversal of 89253248 is 84235298.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×89253248² = 15932284557099008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1257053 + ... + 1257123.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^89253248 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 89253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

89253248 is an abundant number, since it is smaller than the sum of its proper divisors (129304192).

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

89253248 is a wasteful number, since it uses less digits than its factorization.

89253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 89253248 is about 9447.3937146707. The cubic root of 89253248 is about 446.8975870892.

The spelling of 89253248 in words is "eighty-nine million, two hundred fifty-three thousand, two hundred forty-eight".