111879720 has 192 divisors, whose sum is σ = 390957840. Its totient is φ = 27648000.

The previous prime is 111879707. The next prime is 111879731. The reversal of 111879720 is 27978111.

It can be written as a sum of positive squares in 8 ways, for example, as 59259204 + 52620516 = 7698^2 + 7254^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618030 + ... + 618210.

Almost surely, 2^111879720 is an apocalyptic number.

111879720 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 111879720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

111879720 is an abundant number, since it is smaller than the sum of its proper divisors (279078120).

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

111879720 is a wasteful number, since it uses less digits than its factorization.

111879720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 111879720 is about 10577.3210218845. The cubic root of 111879720 is about 481.8558363184.

The spelling of 111879720 in words is "one hundred eleven million, eight hundred seventy-nine thousand, seven hundred twenty".