111956064 has 48 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 33925760.

The previous prime is 111956057. The next prime is 111956069. The reversal of 111956064 is 460659111.

It is a tau number, because it is divible by the number of its divisors (48).

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 (111956069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51954 + ... + 54065.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2^111956064 is an apocalyptic number.

It is an amenable number.

111956064 is an abundant number, since it is smaller than the sum of its proper divisors (208648416).

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

111956064 is a wasteful number, since it uses less digits than its factorization.

111956064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106043 (or 106035 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 111956064 is about 10580.9292597579. The cubic root of 111956064 is about 481.9654136326.

The spelling of 111956064 in words is "one hundred eleven million, nine hundred fifty-six thousand, sixty-four".