89361120 has 96 divisors (see below), whose sum is σ = 285005952. Its totient is φ = 23532032.

The previous prime is 89361109. The next prime is 89361121. The reversal of 89361120 is 2116398.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89361121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38719 + ... + 40961.

It is an arithmetic number, because the mean of its divisors is an integer number (2968812).

Almost surely, 2^89361120 is an apocalyptic number.

89361120 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 89361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142502976).

89361120 is an abundant number, since it is smaller than the sum of its proper divisors (195644832).

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

89361120 is a wasteful number, since it uses less digits than its factorization.

89361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89361120 is about 9453.1010784821. The cubic root of 89361120 is about 447.0775556216.

The spelling of 89361120 in words is "eighty-nine million, three hundred sixty-one thousand, one hundred twenty".