111688416 has 192 divisors, whose sum is σ = 379814400. Its totient is φ = 31269888.

The previous prime is 111688399. The next prime is 111688439. The reversal of 111688416 is 614886111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9216) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356676 + ... + 356988.

It is an arithmetic number, because the mean of its divisors is an integer number (1978200).

Almost surely, 2^111688416 is an apocalyptic number.

111688416 is a gapful number since it is divisible by the number (16) 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 111688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189907200).

111688416 is an abundant number, since it is smaller than the sum of its proper divisors (268125984).

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

111688416 is a wasteful number, since it uses less digits than its factorization.

111688416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 111688416 is about 10568.2740312692. The cubic root of 111688416 is about 481.5810366223.

The spelling of 111688416 in words is "one hundred eleven million, six hundred eighty-eight thousand, four hundred sixteen".