89259120 has 120 divisors (see below), whose sum is σ = 302114592. Its totient is φ = 23616000.

The previous prime is 89259101. The next prime is 89259127. The reversal of 89259120 is 2195298.

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

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 (89259127) 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, 108310 + ... + 109130.

Almost surely, 2^89259120 is an apocalyptic number.

89259120 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 89259120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151057296).

89259120 is an abundant number, since it is smaller than the sum of its proper divisors (212855472).

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

89259120 is a wasteful number, since it uses less digits than its factorization.

89259120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89259120 is about 9447.7044831006. The cubic root of 89259120 is about 446.9073873865.

The spelling of 89259120 in words is "eighty-nine million, two hundred fifty-nine thousand, one hundred twenty".