111579552 has 192 divisors, whose sum is σ = 391910400. Its totient is φ = 30170880.

The previous prime is 111579541. The next prime is 111579569. The reversal of 111579552 is 255975111.

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

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 31 ways as a sum of consecutive naturals, for example, 114427 + ... + 115397.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^111579552 is an apocalyptic number.

111579552 is a gapful number since it is divisible by the number (12) 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 111579552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

111579552 is an abundant number, since it is smaller than the sum of its proper divisors (280330848).

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

111579552 is a wasteful number, since it uses less digits than its factorization.

111579552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its digits is 15750, while the sum is 36.

The square root of 111579552 is about 10563.1222656940. The cubic root of 111579552 is about 481.4245182092.

The spelling of 111579552 in words is "one hundred eleven million, five hundred seventy-nine thousand, five hundred fifty-two".