111001968 has 320 divisors, whose sum is σ = 411402240. Its totient is φ = 27820800.

The previous prime is 111001931. The next prime is 111001973. The reversal of 111001968 is 869100111.

It is a super-3 number, since 3×111001968³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563373 + ... + 1563443.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2^111001968 is an apocalyptic number.

111001968 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 111001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

111001968 is an abundant number, since it is smaller than the sum of its proper divisors (300400272).

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

111001968 is a wasteful number, since it uses less digits than its factorization.

111001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 111001968 is about 10535.7471495855. The cubic root of 111001968 is about 480.5923935947.

The spelling of 111001968 in words is "one hundred eleven million, one thousand, nine hundred sixty-eight".