114552840 has 64 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 30371072.

The previous prime is 114552833. The next prime is 114552869. The reversal of 114552840 is 48255411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114552798 and 114552807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18814 + ... + 24146.

It is an arithmetic number, because the mean of its divisors is an integer number (5400675).

Almost surely, 2^114552840 is an apocalyptic number.

114552840 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 114552840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

114552840 is an abundant number, since it is smaller than the sum of its proper divisors (231090360).

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

114552840 is a wasteful number, since it uses less digits than its factorization.

114552840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 114552840 is about 10702.9360457773. The cubic root of 114552840 is about 485.6633004647.

The spelling of 114552840 in words is "one hundred fourteen million, five hundred fifty-two thousand, eight hundred forty".