111661956 has 96 divisors (see below), whose sum is σ = 333742080. Its totient is φ = 31624992.

The previous prime is 111661951. The next prime is 111661961. The reversal of 111661956 is 659166111.

It is an interprime number because it is at equal distance from previous prime (111661951) and next prime (111661961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111661956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111661951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95431 + ... + 96593.

It is an arithmetic number, because the mean of its divisors is an integer number (3476480).

Almost surely, 2^111661956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111661956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166871040).

111661956 is an abundant number, since it is smaller than the sum of its proper divisors (222080124).

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

111661956 is a wasteful number, since it uses less digits than its factorization.

111661956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 111661956 is about 10567.0220970716. The cubic root of 111661956 is about 481.5430033117.

The spelling of 111661956 in words is "one hundred eleven million, six hundred sixty-one thousand, nine hundred fifty-six".