89351280 has 120 divisors (see below), whose sum is σ = 302095248. Its totient is φ = 23666688.

The previous prime is 89351279. The next prime is 89351287. The reversal of 89351280 is 8215398.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89351287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138639 + ... + 139281.

Almost surely, 2^89351280 is an apocalyptic number.

89351280 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 89351280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151047624).

89351280 is an abundant number, since it is smaller than the sum of its proper divisors (212743968).

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

89351280 is a wasteful number, since it uses less digits than its factorization.

89351280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89351280 is about 9452.5806000266. The cubic root of 89351280 is about 447.0611450371.

The spelling of 89351280 in words is "eighty-nine million, three hundred fifty-one thousand, two hundred eighty".