89838720 has 160 divisors (see below), whose sum is σ = 321015420. Its totient is φ = 23943168.

The previous prime is 89838703. The next prime is 89838731. The reversal of 89838720 is 2783898.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 876096 = 9432^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×89838720² = 16141991222476800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50974 + ... + 52706.

Almost surely, 2^89838720 is an apocalyptic number.

89838720 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 89838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160507710).

89838720 is an abundant number, since it is smaller than the sum of its proper divisors (231176700).

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

89838720 is a wasteful number, since it uses less digits than its factorization.

89838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 89838720 is about 9478.3289666481. The cubic root of 89838720 is about 447.8726253531.

The spelling of 89838720 in words is "eighty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".