114638520 has 64 divisors (see below), whose sum is σ = 349575840. Its totient is φ = 30067200.

The previous prime is 114638483. The next prime is 114638539. The reversal of 114638520 is 25836411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511 + ... + 15150.

Almost surely, 2^114638520 is an apocalyptic number.

114638520 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 114638520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787920).

114638520 is an abundant number, since it is smaller than the sum of its proper divisors (234937320).

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

114638520 is a wasteful number, since it uses less digits than its factorization.

114638520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15736 (or 15732 counting only the distinct ones).

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

The square root of 114638520 is about 10706.9379376178. The cubic root of 114638520 is about 485.7843545314.

The spelling of 114638520 in words is "one hundred fourteen million, six hundred thirty-eight thousand, five hundred twenty".