114427008 has 96 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 37578240.

The previous prime is 114427007. The next prime is 114427009. The reversal of 114427008 is 800724411.

It is an interprime number because it is at equal distance from previous prime (114427007) and next prime (114427009).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114427007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81093 + ... + 82491.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^114427008 is an apocalyptic number.

114427008 is a gapful number since it is divisible by the number (18) 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 114427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

114427008 is an abundant number, since it is smaller than the sum of its proper divisors (219724992).

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

114427008 is a wasteful number, since it uses less digits than its factorization.

114427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114427008 is about 10697.0560436038. The cubic root of 114427008 is about 485.4854076702.

The spelling of 114427008 in words is "one hundred fourteen million, four hundred twenty-seven thousand, eight".