89451120 has 160 divisors (see below), whose sum is σ = 312551424. Its totient is φ = 20966400.

The previous prime is 89451119. The next prime is 89451149. The reversal of 89451120 is 2115498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81294 + ... + 82386.

Almost surely, 2^89451120 is an apocalyptic number.

89451120 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 89451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156275712).

89451120 is an abundant number, since it is smaller than the sum of its proper divisors (223100304).

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

89451120 is a wasteful number, since it uses less digits than its factorization.

89451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 89451120 is about 9457.8602231160. The cubic root of 89451120 is about 447.2275965616.

The spelling of 89451120 in words is "eighty-nine million, four hundred fifty-one thousand, one hundred twenty".