111680640 has 256 divisors, whose sum is σ = 414201600. Its totient is φ = 28385280.

The previous prime is 111680629. The next prime is 111680677. The reversal of 111680640 is 46086111.

111680640 is a `hidden beast` number, since 1 + 1 + 16 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397300 + ... + 397580.

It is an arithmetic number, because the mean of its divisors is an integer number (1617975).

Almost surely, 2^111680640 is an apocalyptic number.

111680640 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 111680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207100800).

111680640 is an abundant number, since it is smaller than the sum of its proper divisors (302520960).

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

111680640 is a wasteful number, since it uses less digits than its factorization.

111680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 111680640 is about 10567.9061313015. The cubic root of 111680640 is about 481.5698601094.

The spelling of 111680640 in words is "one hundred eleven million, six hundred eighty thousand, six hundred forty".