114029820 has 72 divisors (see below), whose sum is σ = 347290944. Its totient is φ = 30284928.

The previous prime is 114029813. The next prime is 114029821. The reversal of 114029820 is 28920411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114029821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48717 + ... + 51003.

Almost surely, 2^114029820 is an apocalyptic number.

114029820 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 114029820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173645472).

114029820 is an abundant number, since it is smaller than the sum of its proper divisors (233261124).

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

114029820 is a wasteful number, since it uses less digits than its factorization.

114029820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2574 counting only the distinct ones).

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

The square root of 114029820 is about 10678.4746101679. The cubic root of 114029820 is about 484.9230330976.

The spelling of 114029820 in words is "one hundred fourteen million, twenty-nine thousand, eight hundred twenty".