114166520 has 64 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 41932800.

The previous prime is 114166517. The next prime is 114166529. The reversal of 114166520 is 25661411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 114166520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114166529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124865 + ... + 125775.

It is an arithmetic number, because the mean of its divisors is an integer number (4345110).

Almost surely, 2^114166520 is an apocalyptic number.

114166520 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 114166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

114166520 is an abundant number, since it is smaller than the sum of its proper divisors (163920520).

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

114166520 is a wasteful number, since it uses less digits than its factorization.

114166520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 114166520 is about 10684.8734199334. The cubic root of 114166520 is about 485.1167324504.

The spelling of 114166520 in words is "one hundred fourteen million, one hundred sixty-six thousand, five hundred twenty".