114079680 has 336 divisors, whose sum is σ = 462649824. Its totient is φ = 25436160.

The previous prime is 114079657. The next prime is 114079681. The reversal of 114079680 is 86970411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114079681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411702 + ... + 411978.

It is an arithmetic number, because the mean of its divisors is an integer number (1376934).

Almost surely, 2^114079680 is an apocalyptic number.

114079680 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 114079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231324912).

114079680 is an abundant number, since it is smaller than the sum of its proper divisors (348570144).

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

114079680 is a wasteful number, since it uses less digits than its factorization.

114079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 114079680 is about 10680.8089581267. The cubic root of 114079680 is about 484.9937009845.

The spelling of 114079680 in words is "one hundred fourteen million, seventy-nine thousand, six hundred eighty".