111978240 has 216 divisors, whose sum is σ = 394729104. Its totient is φ = 27033600.

The previous prime is 111978221. The next prime is 111978247. The reversal of 111978240 is 42879111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111978247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 464520 + ... + 464760.

Almost surely, 2^111978240 is an apocalyptic number.

111978240 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 111978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197364552).

111978240 is an abundant number, since it is smaller than the sum of its proper divisors (282750864).

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

111978240 is a wasteful number, since it uses less digits than its factorization.

111978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 111978240 is about 10581.9771309524. The cubic root of 111978240 is about 481.9972337324.

The spelling of 111978240 in words is "one hundred eleven million, nine hundred seventy-eight thousand, two hundred forty".