89249600 has 126 divisors (see below), whose sum is σ = 241912902. Its totient is φ = 32384000.

The previous prime is 89249597. The next prime is 89249647. The reversal of 89249600 is 694298.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 87011584 = 1496^2 + 9328^2 .

It is a super-2 number, since 2×89249600² = 15930982200320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193370 + ... + 193830.

Almost surely, 2^89249600 is an apocalyptic number.

89249600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120956451).

89249600 is an abundant number, since it is smaller than the sum of its proper divisors (152663302).

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

89249600 is a wasteful number, since it uses less digits than its factorization.

89249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 89249600 is about 9447.2006435769. The cubic root of 89249600 is about 446.8914984047.

The spelling of 89249600 in words is "eighty-nine million, two hundred forty-nine thousand, six hundred".