111982620 has 96 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 29030400.

The previous prime is 111982613. The next prime is 111982643. The reversal of 111982620 is 26289111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413085 + ... + 413355.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2^111982620 is an apocalyptic number.

111982620 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 111982620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

111982620 is an abundant number, since it is smaller than the sum of its proper divisors (210448356).

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

111982620 is a wasteful number, since it uses less digits than its factorization.

111982620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 111982620 is about 10582.1840845829. The cubic root of 111982620 is about 482.0035180497.

The spelling of 111982620 in words is "one hundred eleven million, nine hundred eighty-two thousand, six hundred twenty".