114526620 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 26523648.

The previous prime is 114526609. The next prime is 114526631. The reversal of 114526620 is 26625411.

114526620 is a `hidden beast` number, since 1 + 14 + 5 + 26 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (114526609) and next prime (114526631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38341 + ... + 41219.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^114526620 is an apocalyptic number.

114526620 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 114526620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

114526620 is an abundant number, since it is smaller than the sum of its proper divisors (281738340).

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

114526620 is a wasteful number, since it uses less digits than its factorization.

114526620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114526620 is about 10701.7110781407. The cubic root of 114526620 is about 485.6262431456.

The spelling of 114526620 in words is "one hundred fourteen million, five hundred twenty-six thousand, six hundred twenty".