89268160 has 56 divisors (see below), whose sum is σ = 215194896. Its totient is φ = 35266560.

The previous prime is 89268149. The next prime is 89268169. The reversal of 89268160 is 6186298.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89268169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24880 + ... + 28240.

It is an arithmetic number, because the mean of its divisors is an integer number (3842766).

Almost surely, 2^89268160 is an apocalyptic number.

89268160 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 89268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107597448).

89268160 is an abundant number, since it is smaller than the sum of its proper divisors (125926736).

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

89268160 is a wasteful number, since it uses less digits than its factorization.

89268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 89268160 is about 9448.1828940807. The cubic root of 89268160 is about 446.9224741974.

The spelling of 89268160 in words is "eighty-nine million, two hundred sixty-eight thousand, one hundred sixty".