89671248 has 120 divisors (see below), whose sum is σ = 263320200. Its totient is φ = 28449792.

The previous prime is 89671237. The next prime is 89671261. The reversal of 89671248 is 84217698.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 41062464 = 6972^2 + 6408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455086 + ... + 455282.

It is an arithmetic number, because the mean of its divisors is an integer number (2194335).

Almost surely, 2^89671248 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 89671248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131660100).

89671248 is an abundant number, since it is smaller than the sum of its proper divisors (173648952).

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

89671248 is a wasteful number, since it uses less digits than its factorization.

89671248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 89671248 is about 9469.4903769950. The cubic root of 89671248 is about 447.5941530717.

The spelling of 89671248 in words is "eighty-nine million, six hundred seventy-one thousand, two hundred forty-eight".