114079056 has 240 divisors, whose sum is σ = 381225600. Its totient is φ = 29352960.

The previous prime is 114079003. The next prime is 114079067. The reversal of 114079056 is 650970411.

It is a super-2 number, since 2×114079056² = 26028062035702272, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2782396 + ... + 2782436.

It is an arithmetic number, because the mean of its divisors is an integer number (1588440).

Almost surely, 2^114079056 is an apocalyptic number.

114079056 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 114079056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612800).

114079056 is an abundant number, since it is smaller than the sum of its proper divisors (267146544).

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

114079056 is a wasteful number, since it uses less digits than its factorization.

114079056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 114079056 is about 10680.7797468162. The cubic root of 114079056 is about 484.9928167002.

The spelling of 114079056 in words is "one hundred fourteen million, seventy-nine thousand, fifty-six".