114647520 has 192 divisors, whose sum is σ = 409812480. Its totient is φ = 26707968.

The previous prime is 114647471. The next prime is 114647537. The reversal of 114647520 is 25746411.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118077 + ... + 119043.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^114647520 is an apocalyptic number.

114647520 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 114647520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

114647520 is an abundant number, since it is smaller than the sum of its proper divisors (295164960).

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

114647520 is a wasteful number, since it uses less digits than its factorization.

114647520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 114647520 is about 10707.3582175997. The cubic root of 114647520 is about 485.7970667936.

The spelling of 114647520 in words is "one hundred fourteen million, six hundred forty-seven thousand, five hundred twenty".