114027968 has 56 divisors (see below), whose sum is σ = 241401600. Its totient is φ = 53284608.

The previous prime is 114027967. The next prime is 114027983. The reversal of 114027968 is 869720411.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114027967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95471 + ... + 96657.

Almost surely, 2^114027968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

114027968 is an abundant number, since it is smaller than the sum of its proper divisors (127373632).

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

114027968 is a wasteful number, since it uses less digits than its factorization.

114027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 114027968 is about 10678.3878933105. The cubic root of 114027968 is about 484.9204078127.

The spelling of 114027968 in words is "one hundred fourteen million, twenty-seven thousand, nine hundred sixty-eight".