111720960 has 240 divisors, whose sum is σ = 417801384. Its totient is φ = 27426816.

The previous prime is 111720949. The next prime is 111720971. The reversal of 111720960 is 69027111.

It is an interprime number because it is at equal distance from previous prime (111720949) and next prime (111720971).

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 39538944 = 8496^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 299334 + ... + 299706.

Almost surely, 2^111720960 is an apocalyptic number.

111720960 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 111720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208900692).

111720960 is an abundant number, since it is smaller than the sum of its proper divisors (306080424).

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

111720960 is a wasteful number, since it uses less digits than its factorization.

111720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 111720960 is about 10569.8136218195. The cubic root of 111720960 is about 481.6278067704.

The spelling of 111720960 in words is "one hundred eleven million, seven hundred twenty thousand, nine hundred sixty".