314066820 has 24 divisors (see below), whose sum is σ = 879387264. Its totient is φ = 83751136.

The previous prime is 314066807. The next prime is 314066821. The reversal of 314066820 is 28660413.

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 (314066821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2617164 + ... + 2617283.

It is an arithmetic number, because the mean of its divisors is an integer number (36641136).

Almost surely, 2^314066820 is an apocalyptic number.

314066820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314066820 is an abundant number, since it is smaller than the sum of its proper divisors (565320444).

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

314066820 is a wasteful number, since it uses less digits than its factorization.

314066820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234459 (or 5234457 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 314066820 is about 17721.9304817506. The cubic root of 314066820 is about 679.7366483102.

It can be divided in two parts, 31406 and 6820, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 314066820 in words is "three hundred fourteen million, sixty-six thousand, eight hundred twenty".