89248320 has 336 divisors, whose sum is σ = 370880640. Its totient is φ = 19243008.

The previous prime is 89248273. The next prime is 89248331. The reversal of 89248320 is 2384298.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382924 + ... + 383156.

Almost surely, 2^89248320 is an apocalyptic number.

89248320 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 89248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440320).

89248320 is an abundant number, since it is smaller than the sum of its proper divisors (281632320).

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

89248320 is a wasteful number, since it uses less digits than its factorization.

89248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89248320 is about 9447.1328983983. The cubic root of 89248320 is about 446.8893619848.

The spelling of 89248320 in words is "eighty-nine million, two hundred forty-eight thousand, three hundred twenty".