114107616 has 240 divisors, whose sum is σ = 404933760. Its totient is φ = 30792960.

The previous prime is 114107611. The next prime is 114107639. The reversal of 114107616 is 616701411.

114107616 is a `hidden beast` number, since 1 + 1 + 41 + 0 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114107616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114107611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344571 + ... + 344901.

It is an arithmetic number, because the mean of its divisors is an integer number (1687224).

Almost surely, 2^114107616 is an apocalyptic number.

114107616 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 114107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202466880).

114107616 is an abundant number, since it is smaller than the sum of its proper divisors (290826144).

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

114107616 is a wasteful number, since it uses less digits than its factorization.

114107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114107616 is about 10682.1166441862. The cubic root of 114107616 is about 485.0332864107.

The spelling of 114107616 in words is "one hundred fourteen million, one hundred seven thousand, six hundred sixteen".