114203760 has 160 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 27417600.

The previous prime is 114203753. The next prime is 114203779. The reversal of 114203760 is 67302411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114203760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477721 + ... + 477959.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^114203760 is an apocalyptic number.

114203760 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 114203760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

114203760 is an abundant number, since it is smaller than the sum of its proper divisors (275771280).

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

114203760 is a wasteful number, since it uses less digits than its factorization.

114203760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 114203760 is about 10686.6159283470. The cubic root of 114203760 is about 485.1694734909.

The spelling of 114203760 in words is "one hundred fourteen million, two hundred three thousand, seven hundred sixty".