111532960 has 144 divisors (see below), whose sum is σ = 331406208. Its totient is φ = 34721280.

The previous prime is 111532943. The next prime is 111532961. The reversal of 111532960 is 69235111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (111532961) 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, 135109 + ... + 135931.

It is an arithmetic number, because the mean of its divisors is an integer number (2301432).

Almost surely, 2^111532960 is an apocalyptic number.

111532960 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 111532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165703104).

111532960 is an abundant number, since it is smaller than the sum of its proper divisors (219873248).

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

111532960 is a wasteful number, since it uses less digits than its factorization.

111532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 111532960 is about 10560.9166268842. The cubic root of 111532960 is about 481.3574997948.

Adding to 111532960 its product of nonzero digits (1620), we get a triangular number (111534580 = T₁₄₉₃₅).

The spelling of 111532960 in words is "one hundred eleven million, five hundred thirty-two thousand, nine hundred sixty".