111951664 has 120 divisors (see below), whose sum is σ = 263126016. Its totient is φ = 45696000.

The previous prime is 111951641. The next prime is 111951691. The reversal of 111951664 is 466159111.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576749 + ... + 1576819.

Almost surely, 2^111951664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111951664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131563008).

111951664 is an abundant number, since it is smaller than the sum of its proper divisors (151174352).

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

111951664 is a wasteful number, since it uses less digits than its factorization.

111951664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its digits is 6480, while the sum is 34.

The square root of 111951664 is about 10580.7213364685. The cubic root of 111951664 is about 481.9590996211.

The spelling of 111951664 in words is "one hundred eleven million, nine hundred fifty-one thousand, six hundred sixty-four".