111958320 has 80 divisors (see below), whose sum is σ = 348093792. Its totient is φ = 29767680.

The previous prime is 111958309. The next prime is 111958321. The reversal of 111958320 is 23859111.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (111958321) 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, 146740 + ... + 147500.

Almost surely, 2^111958320 is an apocalyptic number.

111958320 is a gapful number since it is divisible by the number (10) 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 111958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174046896).

111958320 is an abundant number, since it is smaller than the sum of its proper divisors (236135472).

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

111958320 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (111958319) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1390).

111958320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 111958320 is about 10581.0358661144. The cubic root of 111958320 is about 481.9686509343.

The spelling of 111958320 in words is "one hundred eleven million, nine hundred fifty-eight thousand, three hundred twenty".