89349120 has 264 divisors, whose sum is σ = 355097184. Its totient is φ = 20348928.

The previous prime is 89349107. The next prime is 89349151. The reversal of 89349120 is 2194398.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322422 + ... + 322698.

Almost surely, 2^89349120 is an apocalyptic number.

89349120 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 89349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177548592).

89349120 is an abundant number, since it is smaller than the sum of its proper divisors (265748064).

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

89349120 is a wasteful number, since it uses less digits than its factorization.

89349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89349120 is about 9452.4663448224. The cubic root of 89349120 is about 447.0575425524.

The spelling of 89349120 in words is "eighty-nine million, three hundred forty-nine thousand, one hundred twenty".