114661260 has 288 divisors, whose sum is σ = 433060992. Its totient is φ = 23961600.

The previous prime is 114661229. The next prime is 114661291. The reversal of 114661260 is 62166411.

114661260 is a `hidden beast` number, since 1 + 1 + 46 + 612 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114661229) and next prime (114661291).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135210 + ... + 1135310.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^114661260 is an apocalyptic number.

114661260 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 114661260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216530496).

114661260 is an abundant number, since it is smaller than the sum of its proper divisors (318399732).

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

114661260 is a wasteful number, since it uses less digits than its factorization.

114661260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114661260 is about 10707.9998132238. Note that the first 3 decimals coincide. The cubic root of 114661260 is about 485.8164728976.

It can be divided in two parts, 114661 and 260, that added together give a square (114921 = 339²).

The spelling of 114661260 in words is "one hundred fourteen million, six hundred sixty-one thousand, two hundred sixty".