114858720 has 216 divisors, whose sum is σ = 409886568. Its totient is φ = 29283840.

The previous prime is 114858713. The next prime is 114858727. The reversal of 114858720 is 27858411.

114858720 is a `hidden beast` number, since 11 + 48 + 587 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (114858713) and next prime (114858727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114858727) 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 35 ways as a sum of consecutive naturals, for example, 1383799 + ... + 1383881.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 2^114858720 is an apocalyptic number.

114858720 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 114858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204943284).

114858720 is an abundant number, since it is smaller than the sum of its proper divisors (295027848).

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

114858720 is a wasteful number, since it uses less digits than its factorization.

114858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 114858720 is about 10717.2160564206. The cubic root of 114858720 is about 486.0951904180.

The spelling of 114858720 in words is "one hundred fourteen million, eight hundred fifty-eight thousand, seven hundred twenty".