111634960 has 80 divisors (see below), whose sum is σ = 267933744. Its totient is φ = 43237376.

The previous prime is 111634877. The next prime is 111634969. The reversal of 111634960 is 69436111.

It can be written as a sum of positive squares in 8 ways, for example, as 20394256 + 91240704 = 4516^2 + 9552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111634969) 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, 479004 + ... + 479236.

Almost surely, 2^111634960 is an apocalyptic number.

111634960 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 111634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133966872).

111634960 is an abundant number, since it is smaller than the sum of its proper divisors (156298784).

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

111634960 is a wasteful number, since it uses less digits than its factorization.

111634960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 111634960 is about 10565.7446495739. The cubic root of 111634960 is about 481.5041933680.

The spelling of 111634960 in words is "one hundred eleven million, six hundred thirty-four thousand, nine hundred sixty".