111406560 has 96 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 28746240.

The previous prime is 111406543. The next prime is 111406571. The reversal of 111406560 is 65604111.

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

It is a super-2 number, since 2×111406560² = 24822843222067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111406560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11137 + ... + 18623.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2^111406560 is an apocalyptic number.

111406560 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 111406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

111406560 is an abundant number, since it is smaller than the sum of its proper divisors (250892832).

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

111406560 is a wasteful number, since it uses less digits than its factorization.

111406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 111406560 is about 10554.9306013825. The cubic root of 111406560 is about 481.1755906770.

The spelling of 111406560 in words is "one hundred eleven million, four hundred six thousand, five hundred sixty".