111679290 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 27030528.

The previous prime is 111679279. The next prime is 111679291. The reversal of 111679290 is 92976111.

It is not an unprimeable number, because it can be changed into a prime (111679291) by changing a digit.

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, 132691 + ... + 133529.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^111679290 is an apocalyptic number.

111679290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111679290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

111679290 is an abundant number, since it is smaller than the sum of its proper divisors (214912710).

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

111679290 is a wasteful number, since it uses less digits than its factorization.

111679290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 111679290 is about 10567.8422584745. The cubic root of 111679290 is about 481.5679196898.

The spelling of 111679290 in words is "one hundred eleven million, six hundred seventy-nine thousand, two hundred ninety".