111949680 has 160 divisors (see below), whose sum is σ = 367976448. Its totient is φ = 28108800.

The previous prime is 111949631. The next prime is 111949681. The reversal of 111949680 is 86949111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111949681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304857 + ... + 305223.

Almost surely, 2^111949680 is an apocalyptic number.

111949680 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 111949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183988224).

111949680 is an abundant number, since it is smaller than the sum of its proper divisors (256026768).

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

111949680 is a wasteful number, since it uses less digits than its factorization.

111949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 111949680 is about 10580.6275806306. The cubic root of 111949680 is about 481.9562525219.

The spelling of 111949680 in words is "one hundred eleven million, nine hundred forty-nine thousand, six hundred eighty".