114066810 has 96 divisors (see below), whose sum is σ = 348461568. Its totient is φ = 25522560.

The previous prime is 114066803. The next prime is 114066847. The reversal of 114066810 is 18660411.

It is a super-2 number, since 2×114066810² = 26022474287152200, which contains 22 as substring.

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, 8439 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (3629808).

Almost surely, 2^114066810 is an apocalyptic number.

114066810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114066810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174230784).

114066810 is an abundant number, since it is smaller than the sum of its proper divisors (234394758).

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

114066810 is a wasteful number, since it uses less digits than its factorization.

114066810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114066810 is about 10680.2064586786. The cubic root of 114066810 is about 484.9754619675.

The spelling of 114066810 in words is "one hundred fourteen million, sixty-six thousand, eight hundred ten".