114066736 has 80 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 45573120.

The previous prime is 114066731. The next prime is 114066739. The reversal of 114066736 is 637660411.

It is a super-2 number, since 2×114066736² = 26022440523387392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (114066731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264441 + ... + 264871.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^114066736 is an apocalyptic number.

114066736 is a gapful number since it is divisible by the number (16) 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 114066736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

114066736 is an abundant number, since it is smaller than the sum of its proper divisors (155915984).

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

114066736 is a wasteful number, since it uses less digits than its factorization.

114066736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 114066736 is about 10680.2029943255. The cubic root of 114066736 is about 484.9753570928.

It can be divided in two parts, 1140 and 66736, that added together give a palindrome (67876).

The spelling of 114066736 in words is "one hundred fourteen million, sixty-six thousand, seven hundred thirty-six".