114164610 has 96 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 25377408.

The previous prime is 114164569. The next prime is 114164621. The reversal of 114164610 is 16461411.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53341 + ... + 55439.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2^114164610 is an apocalyptic number.

114164610 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 114164610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

114164610 is an abundant number, since it is smaller than the sum of its proper divisors (213334590).

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

114164610 is a wasteful number, since it uses less digits than its factorization.

114164610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114164610 is about 10684.7840408686. The cubic root of 114164610 is about 485.1140271093.

The spelling of 114164610 in words is "one hundred fourteen million, one hundred sixty-four thousand, six hundred ten".