114610770 has 96 divisors (see below), whose sum is σ = 318073392. Its totient is φ = 28532736.

The previous prime is 114610763. The next prime is 114610789. The reversal of 114610770 is 77016411.

It can be written as a sum of positive squares in 8 ways, for example, as 68112009 + 46498761 = 8253^2 + 6819^2 .

It is a Curzon 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, 264474 + ... + 264906.

It is the magic constant of a 612 × 612 magic square.

Almost surely, 2^114610770 is an apocalyptic number.

114610770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114610770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159036696).

114610770 is an abundant number, since it is smaller than the sum of its proper divisors (203462622).

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

114610770 is a wasteful number, since it uses less digits than its factorization.

114610770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 114610770 is about 10705.6419704752. The cubic root of 114610770 is about 485.7451542006.

The spelling of 114610770 in words is "one hundred fourteen million, six hundred ten thousand, seven hundred seventy".