114191680 has 56 divisors (see below), whose sum is σ = 277090632. Its totient is φ = 44808192.

The previous prime is 114191677. The next prime is 114191681. The reversal of 114191680 is 86191411.

It can be written as a sum of positive squares in 4 ways, for example, as 57881664 + 56310016 = 7608^2 + 7504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114191681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13594 + ... + 20326.

It is an arithmetic number, because the mean of its divisors is an integer number (4948047).

Almost surely, 2^114191680 is an apocalyptic number.

114191680 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 114191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138545316).

114191680 is an abundant number, since it is smaller than the sum of its proper divisors (162898952).

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

114191680 is an equidigital number, since it uses as much as digits as its factorization.

114191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 114191680 is about 10686.0507204486. The cubic root of 114191680 is about 485.1523664829.

The spelling of 114191680 in words is "one hundred fourteen million, one hundred ninety-one thousand, six hundred eighty".