111959040 has 176 divisors, whose sum is σ = 369639072. Its totient is φ = 28901376.

The previous prime is 111959033. The next prime is 111959041. The reversal of 111959040 is 40959111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111958989 and 111959007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111959041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568222 + ... + 568418.

It is an arithmetic number, because the mean of its divisors is an integer number (2100222).

Almost surely, 2^111959040 is an apocalyptic number.

111959040 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 111959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184819536).

111959040 is an abundant number, since it is smaller than the sum of its proper divisors (257680032).

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

111959040 is a wasteful number, since it uses less digits than its factorization.

111959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 111959040 is about 10581.0698891936. The cubic root of 111959040 is about 481.9696841065.

The spelling of 111959040 in words is "one hundred eleven million, nine hundred fifty-nine thousand, forty".