89948000 has 96 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 35481600.

The previous prime is 89947993. The next prime is 89948017. The reversal of 89948000 is 84998.

It is a congruent 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, 451901 + ... + 452099.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^89948000 is an apocalyptic number.

89948000 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 89948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

89948000 is an abundant number, since it is smaller than the sum of its proper divisors (134130400).

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

89948000 is a wasteful number, since it uses less digits than its factorization.

89948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 89948000 is about 9484.0919438816. The cubic root of 89948000 is about 448.0541494921.

The spelling of 89948000 in words is "eighty-nine million, nine hundred forty-eight thousand".