114768360 has 512 divisors, whose sum is σ = 497664000. Its totient is φ = 22892544.

The previous prime is 114768359. The next prime is 114768371. The reversal of 114768360 is 63867411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2441857 + ... + 2441903.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^114768360 is an apocalyptic number.

114768360 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 114768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

114768360 is an abundant number, since it is smaller than the sum of its proper divisors (382895640).

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

114768360 is a wasteful number, since it uses less digits than its factorization.

114768360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114768360 is about 10712.9995799496. Note that the first 3 decimals coincide. The cubic root of 114768360 is about 485.9676857039.

It can be divided in two parts, 1147683 and 60, that multiplied together give a triangular number (68860980 = T₁₁₇₃₅).

The spelling of 114768360 in words is "one hundred fourteen million, seven hundred sixty-eight thousand, three hundred sixty".