89638640 has 120 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 28353024.

The previous prime is 89638607. The next prime is 89638651. The reversal of 89638640 is 4683698.

It is a junction number, because it is equal to n+sod(n) for n = 89638591 and 89638600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50081 + ... + 51839.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^89638640 is an apocalyptic number.

89638640 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 89638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

89638640 is an abundant number, since it is smaller than the sum of its proper divisors (171594640).

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

89638640 is a wasteful number, since it uses less digits than its factorization.

89638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 89638640 is about 9467.7684804816. The cubic root of 89638640 is about 447.5398922023.

The spelling of 89638640 in words is "eighty-nine million, six hundred thirty-eight thousand, six hundred forty".