314061696 has 192 divisors, whose sum is σ = 990946320. Its totient is φ = 94887936.

The previous prime is 314061679. The next prime is 314061707. The reversal of 314061696 is 696160413.

314061696 is a `hidden beast` number, since 31 + 4 + 0 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 314061696.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1003236 + ... + 1003548.

Almost surely, 2^314061696 is an apocalyptic number.

314061696 is a gapful number since it is divisible by the number (36) 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 314061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495473160).

314061696 is an abundant number, since it is smaller than the sum of its proper divisors (676884624).

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

314061696 is a wasteful number, since it uses less digits than its factorization.

314061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 314061696 is about 17721.7859145178. The cubic root of 314061696 is about 679.7329516557.

The spelling of 314061696 in words is "three hundred fourteen million, sixty-one thousand, six hundred ninety-six".