114683520 has 384 divisors, whose sum is σ = 452096640. Its totient is φ = 24600576.

The previous prime is 114683483. The next prime is 114683533. The reversal of 114683520 is 25386411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163814 + ... + 2163866.

It is an arithmetic number, because the mean of its divisors is an integer number (1177335).

Almost surely, 2^114683520 is an apocalyptic number.

114683520 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 114683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226048320).

114683520 is an abundant number, since it is smaller than the sum of its proper divisors (337413120).

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

114683520 is a wasteful number, since it uses less digits than its factorization.

114683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 114683520 is about 10709.0391725869. The cubic root of 114683520 is about 485.8479091907.

It can be divided in two parts, 1146835 and 20, that added together give a triangular number (1146855 = T₁₅₁₄).

The spelling of 114683520 in words is "one hundred fourteen million, six hundred eighty-three thousand, five hundred twenty".