89448640 has 112 divisors (see below), whose sum is σ = 224722944. Its totient is φ = 33868800.

The previous prime is 89448629. The next prime is 89448677. The reversal of 89448640 is 4684498.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704257 + ... + 704383.

Almost surely, 2^89448640 is an apocalyptic number.

89448640 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 89448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112361472).

89448640 is an abundant number, since it is smaller than the sum of its proper divisors (135274304).

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

89448640 is a wasteful number, since it uses less digits than its factorization.

89448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 89448640 is about 9457.7291143276. The cubic root of 89448640 is about 447.2234634489.

The spelling of 89448640 in words is "eighty-nine million, four hundred forty-eight thousand, six hundred forty".