111955968 has 78 divisors (see below), whose sum is σ = 323495354. Its totient is φ = 37306368.

The previous prime is 111955951. The next prime is 111956017. The reversal of 111955968 is 869559111.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 4460544 = 10368^2 + 2112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35346 + ... + 38382.

Almost surely, 2^111955968 is an apocalyptic number.

111955968 is a gapful number since it is divisible by the number (18) 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 111955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161747677).

111955968 is an abundant number, since it is smaller than the sum of its proper divisors (211539386).

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

111955968 is an equidigital number, since it uses as much as digits as its factorization.

111955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3042 counting only the distinct ones).

The product of its digits is 97200, while the sum is 45.

The square root of 111955968 is about 10580.9247232933. The cubic root of 111955968 is about 481.9652758741.

The spelling of 111955968 in words is "one hundred eleven million, nine hundred fifty-five thousand, nine hundred sixty-eight".