114547680 has 288 divisors, whose sum is σ = 437542560. Its totient is φ = 27095040.

The previous prime is 114547669. The next prime is 114547721. The reversal of 114547680 is 86745411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542775 + ... + 542985.

It is an arithmetic number, because the mean of its divisors is an integer number (1519245).

Almost surely, 2^114547680 is an apocalyptic number.

114547680 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 114547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218771280).

114547680 is an abundant number, since it is smaller than the sum of its proper divisors (322994880).

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

114547680 is a wasteful number, since it uses less digits than its factorization.

114547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 114547680 is about 10702.6949877122. The cubic root of 114547680 is about 485.6560081670.

The spelling of 114547680 in words is "one hundred fourteen million, five hundred forty-seven thousand, six hundred eighty".