111000960 has 192 divisors, whose sum is σ = 438216480. Its totient is φ = 25362432.

The previous prime is 111000959. The next prime is 111000961. The reversal of 111000960 is 69000111.

It is an interprime number because it is at equal distance from previous prime (111000959) and next prime (111000961).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38944 + ... + 41696.

Almost surely, 2^111000960 is an apocalyptic number.

111000960 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 111000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219108240).

111000960 is an abundant number, since it is smaller than the sum of its proper divisors (327215520).

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

111000960 is a wasteful number, since it uses less digits than its factorization.

111000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 111000960 is about 10535.6993123380. The cubic root of 111000960 is about 480.5909388499.

The spelling of 111000960 in words is "one hundred eleven million, nine hundred sixty", and thus it is an aban number.