314105688 has 128 divisors (see below), whose sum is σ = 951921600. Its totient is φ = 96577920.

The previous prime is 314105683. The next prime is 314105707. The reversal of 314105688 is 886501413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314105681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226758 + ... + 228138.

Almost surely, 2^314105688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314105688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475960800).

314105688 is an abundant number, since it is smaller than the sum of its proper divisors (637815912).

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

314105688 is a wasteful number, since it uses less digits than its factorization.

314105688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 314105688 is about 17723.0270552183. The cubic root of 314105688 is about 679.7646878998.

The spelling of 314105688 in words is "three hundred fourteen million, one hundred five thousand, six hundred eighty-eight".