111541968 has 80 divisors (see below), whose sum is σ = 330534400. Its totient is φ = 35976960.

The previous prime is 111541967. The next prime is 111542021. The reversal of 111541968 is 869145111.

It is a happy number.

It is a super-2 number, since 2×111541968² = 24883221250626048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111541967) 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, 9228 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (4131680).

Almost surely, 2^111541968 is an apocalyptic number.

111541968 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 111541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165267200).

111541968 is an abundant number, since it is smaller than the sum of its proper divisors (218992432).

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

111541968 is a wasteful number, since it uses less digits than its factorization.

111541968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8365 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 111541968 is about 10561.3430964059. The cubic root of 111541968 is about 481.3704584504.

The spelling of 111541968 in words is "one hundred eleven million, five hundred forty-one thousand, nine hundred sixty-eight".