111648240 has 320 divisors, whose sum is σ = 434257920. Its totient is φ = 26127360.

The previous prime is 111648227. The next prime is 111648259. The reversal of 111648240 is 42846111.

It is a happy number.

111648240 is a `hidden beast` number, since 1 + 11 + 648 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879057 + ... + 879183.

It is an arithmetic number, because the mean of its divisors is an integer number (1357056).

Almost surely, 2^111648240 is an apocalyptic number.

111648240 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 111648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

111648240 is an abundant number, since it is smaller than the sum of its proper divisors (322609680).

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

111648240 is a wasteful number, since it uses less digits than its factorization.

111648240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 111648240 is about 10566.3730768888. The cubic root of 111648240 is about 481.5232857208.

The spelling of 111648240 in words is "one hundred eleven million, six hundred forty-eight thousand, two hundred forty".