111676632 has 64 divisors (see below), whose sum is σ = 289689600. Its totient is φ = 35838720.

The previous prime is 111676589. The next prime is 111676637. The reversal of 111676632 is 236676111.

It is a junction number, because it is equal to n+sod(n) for n = 111676593 and 111676602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111676637) 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 15 ways as a sum of consecutive naturals, for example, 272844 + ... + 273252.

It is an arithmetic number, because the mean of its divisors is an integer number (4526400).

Almost surely, 2^111676632 is an apocalyptic number.

111676632 is a gapful number since it is divisible by the number (12) 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 111676632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144844800).

111676632 is an abundant number, since it is smaller than the sum of its proper divisors (178012968).

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

111676632 is a wasteful number, since it uses less digits than its factorization.

111676632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 111676632 is about 10567.7164988469. The cubic root of 111676632 is about 481.5640991733.

The spelling of 111676632 in words is "one hundred eleven million, six hundred seventy-six thousand, six hundred thirty-two".