114538620 has 192 divisors, whose sum is σ = 390168576. Its totient is φ = 24541440.

The previous prime is 114538609. The next prime is 114538621. The reversal of 114538620 is 26835411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114538621) 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, 685777 + ... + 685943.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^114538620 is an apocalyptic number.

114538620 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 114538620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

114538620 is an abundant number, since it is smaller than the sum of its proper divisors (275629956).

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

114538620 is a wasteful number, since it uses less digits than its factorization.

114538620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

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

The square root of 114538620 is about 10702.2717214618. The cubic root of 114538620 is about 485.6432037189.

The spelling of 114538620 in words is "one hundred fourteen million, five hundred thirty-eight thousand, six hundred twenty".