114677920 has 192 divisors, whose sum is σ = 346187520. Its totient is φ = 34947072.

The previous prime is 114677917. The next prime is 114677923. The reversal of 114677920 is 29776411.

It is an interprime number because it is at equal distance from previous prime (114677917) and next prime (114677923).

It is a self number, because there is not a number n which added to its sum of digits gives 114677920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114677923) by changing a digit.

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, 361602 + ... + 361918.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^114677920 is an apocalyptic number.

114677920 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 114677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

114677920 is an abundant number, since it is smaller than the sum of its proper divisors (231509600).

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

114677920 is a wasteful number, since it uses less digits than its factorization.

114677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 114677920 is about 10708.7777080300. Note that the first 4 decimals coincide. The cubic root of 114677920 is about 485.8400010723.

The spelling of 114677920 in words is "one hundred fourteen million, six hundred seventy-seven thousand, nine hundred twenty".