114214320 has 480 divisors, whose sum is σ = 474969600. Its totient is φ = 25090560.

The previous prime is 114214319. The next prime is 114214349. The reversal of 114214320 is 23412411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114214293 and 114214302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4965829 + ... + 4965851.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^114214320 is an apocalyptic number.

114214320 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 114214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

114214320 is an abundant number, since it is smaller than the sum of its proper divisors (360755280).

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

114214320 is a wasteful number, since it uses less digits than its factorization.

114214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114214320 is about 10687.1099928840. The cubic root of 114214320 is about 485.1844269733.

Adding to 114214320 its reverse (23412411), we get a palindrome (137626731).

The spelling of 114214320 in words is "one hundred fourteen million, two hundred fourteen thousand, three hundred twenty".