89265120 has 192 divisors, whose sum is σ = 332107776. Its totient is φ = 19722240.

The previous prime is 89265109. The next prime is 89265133. The reversal of 89265120 is 2156298.

It is a super-2 number, since 2×89265120² = 15936523297228800, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 103732 + ... + 104588.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 2^89265120 is an apocalyptic number.

89265120 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 89265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

89265120 is an abundant number, since it is smaller than the sum of its proper divisors (242842656).

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

89265120 is a wasteful number, since it uses less digits than its factorization.

89265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 89265120 is about 9448.0220152157. The cubic root of 89265120 is about 446.9174008702.

The spelling of 89265120 in words is "eighty-nine million, two hundred sixty-five thousand, one hundred twenty".