111968640 has 192 divisors, whose sum is σ = 442035360. Its totient is φ = 25583616.

The previous prime is 111968639. The next prime is 111968651. The reversal of 111968640 is 46869111.

It is a happy number.

111968640 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 111968595 and 111968604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38932 + ... + 41708.

Almost surely, 2^111968640 is an apocalyptic number.

111968640 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 111968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221017680).

111968640 is an abundant number, since it is smaller than the sum of its proper divisors (330066720).

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

111968640 is a wasteful number, since it uses less digits than its factorization.

111968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 111968640 is about 10581.5235197962. The cubic root of 111968640 is about 481.9834593131.

The spelling of 111968640 in words is "one hundred eleven million, nine hundred sixty-eight thousand, six hundred forty".