111272640 has 112 divisors (see below), whose sum is σ = 364784640. Its totient is φ = 28707840.

The previous prime is 111272621. The next prime is 111272663. The reversal of 111272640 is 46272111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111272640.

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, 27891 + ... + 31629.

Almost surely, 2^111272640 is an apocalyptic number.

111272640 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 111272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392320).

111272640 is an abundant number, since it is smaller than the sum of its proper divisors (253512000).

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

111272640 is a wasteful number, since it uses less digits than its factorization.

111272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 111272640 is about 10548.5847391961. The cubic root of 111272640 is about 480.9827089391.

The spelling of 111272640 in words is "one hundred eleven million, two hundred seventy-two thousand, six hundred forty".