114068736 has 90 divisors (see below), whose sum is σ = 340194162. Its totient is φ = 38016000.

The previous prime is 114068729. The next prime is 114068783. The reversal of 114068736 is 637860411.

It can be written as a sum of positive squares in only one way, i.e., 113550336 + 518400 = 10656^2 + 720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 114068736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17986 + ... + 23486.

Almost surely, 2^114068736 is an apocalyptic number.

114068736 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 114068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170097081).

114068736 is an abundant number, since it is smaller than the sum of its proper divisors (226125426).

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

114068736 is an frugal number, since it uses more digits than its factorization.

114068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114068736 is about 10680.2966250943. The cubic root of 114068736 is about 484.9781915301.

The spelling of 114068736 in words is "one hundred fourteen million, sixty-eight thousand, seven hundred thirty-six".