114367680 has 448 divisors, whose sum is σ = 483778560. Its totient is φ = 24883200.

The previous prime is 114367679. The next prime is 114367709. The reversal of 114367680 is 86763411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874850 + ... + 1874910.

Almost surely, 2^114367680 is an apocalyptic number.

114367680 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 114367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241889280).

114367680 is an abundant number, since it is smaller than the sum of its proper divisors (369410880).

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

114367680 is a wasteful number, since it uses less digits than its factorization.

114367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114367680 is about 10694.2825846337. The cubic root of 114367680 is about 485.4014885031.

The spelling of 114367680 in words is "one hundred fourteen million, three hundred sixty-seven thousand, six hundred eighty".