114820416 has 196 divisors, whose sum is σ = 359798112. Its totient is φ = 36267264.

The previous prime is 114820403. The next prime is 114820421. The reversal of 114820416 is 614028411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 114820416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1073035 + ... + 1073141.

Almost surely, 2^114820416 is an apocalyptic number.

114820416 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 114820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179899056).

114820416 is an abundant number, since it is smaller than the sum of its proper divisors (244977696).

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

114820416 is an equidigital number, since it uses as much as digits as its factorization.

114820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114820416 is about 10715.4288761580. The cubic root of 114820416 is about 486.0411487793.

Adding to 114820416 its reverse (614028411), we get a palindrome (728848827).

The spelling of 114820416 in words is "one hundred fourteen million, eight hundred twenty thousand, four hundred sixteen".