114832620 has 192 divisors, whose sum is σ = 432552960. Its totient is φ = 24689664.

The previous prime is 114832591. The next prime is 114832621. The reversal of 114832620 is 26238411.

114832620 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 32 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114832621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63367 + ... + 65153.

It is an arithmetic number, because the mean of its divisors is an integer number (2252880).

Almost surely, 2^114832620 is an apocalyptic number.

114832620 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 114832620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216276480).

114832620 is an abundant number, since it is smaller than the sum of its proper divisors (317720340).

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

114832620 is a wasteful number, since it uses less digits than its factorization.

114832620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114832620 is about 10715.9983202686. The cubic root of 114832620 is about 486.0583682374.

The spelling of 114832620 in words is "one hundred fourteen million, eight hundred thirty-two thousand, six hundred twenty".