111678320 has 80 divisors (see below), whose sum is σ = 283648512. Its totient is φ = 40642560.

The previous prime is 111678313. The next prime is 111678341. The reversal of 111678320 is 23876111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75185 + ... + 76655.

Almost surely, 2^111678320 is an apocalyptic number.

111678320 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 111678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141824256).

111678320 is an abundant number, since it is smaller than the sum of its proper divisors (171970192).

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

111678320 is a wasteful number, since it uses less digits than its factorization.

111678320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 111678320 is about 10567.7963644272. The cubic root of 111678320 is about 481.5665254527.

The spelling of 111678320 in words is "one hundred eleven million, six hundred seventy-eight thousand, three hundred twenty".