114027840 has 252 divisors, whose sum is σ = 419677596. Its totient is φ = 28409856.

The previous prime is 114027829. The next prime is 114027841. The reversal of 114027840 is 48720411.

It can be written as a sum of positive squares in 6 ways, for example, as 8020224 + 106007616 = 2832^2 + 10296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114027841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832252 + ... + 832388.

Almost surely, 2^114027840 is an apocalyptic number.

114027840 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 114027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209838798).

114027840 is an abundant number, since it is smaller than the sum of its proper divisors (305649756).

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

114027840 is a wasteful number, since it uses less digits than its factorization.

114027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114027840 is about 10678.3818998948. The cubic root of 114027840 is about 484.9202263664.

The spelling of 114027840 in words is "one hundred fourteen million, twenty-seven thousand, eight hundred forty".