89575248 has 160 divisors (see below), whose sum is σ = 281696256. Its totient is φ = 23975424.

The previous prime is 89575243. The next prime is 89575301. The reversal of 89575248 is 84257598.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 89575197 and 89575206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89575243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517690 + ... + 517862.

Almost surely, 2^89575248 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 89575248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140848128).

89575248 is an abundant number, since it is smaller than the sum of its proper divisors (192121008).

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

89575248 is a wasteful number, since it uses less digits than its factorization.

89575248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 89575248 is about 9464.4201090188. The cubic root of 89575248 is about 447.4343679950.

The spelling of 89575248 in words is "eighty-nine million, five hundred seventy-five thousand, two hundred forty-eight".