114627744 has 192 divisors, whose sum is σ = 417070080. Its totient is φ = 29756160.

The previous prime is 114627743. The next prime is 114627767. The reversal of 114627744 is 447726411.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114627699 and 114627708.

It is not an unprimeable number, because it can be changed into a prime (114627743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 65667 + ... + 67389.

It is an arithmetic number, because the mean of its divisors is an integer number (2172240).

Almost surely, 2^114627744 is an apocalyptic number.

114627744 is a gapful number since it is divisible by the number (14) 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 114627744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208535040).

114627744 is an abundant number, since it is smaller than the sum of its proper divisors (302442336).

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

114627744 is a wasteful number, since it uses less digits than its factorization.

114627744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1746 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 114627744 is about 10706.4347006835. The cubic root of 114627744 is about 485.7691328408.

The spelling of 114627744 in words is "one hundred fourteen million, six hundred twenty-seven thousand, seven hundred forty-four".