114074760 has 128 divisors (see below), whose sum is σ = 365472000. Its totient is φ = 28385280.

The previous prime is 114074759. The next prime is 114074767. The reversal of 114074760 is 67470411.

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

It is not an unprimeable number, because it can be changed into a prime (114074767) 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, 405820 + ... + 406100.

It is an arithmetic number, because the mean of its divisors is an integer number (2855250).

Almost surely, 2^114074760 is an apocalyptic number.

114074760 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 114074760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736000).

114074760 is an abundant number, since it is smaller than the sum of its proper divisors (251397240).

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

114074760 is a wasteful number, since it uses less digits than its factorization.

114074760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 114074760 is about 10680.5786360103. The cubic root of 114074760 is about 484.9867286552.

The spelling of 114074760 in words is "one hundred fourteen million, seventy-four thousand, seven hundred sixty".