314189820 has 192 divisors, whose sum is σ = 1143690240. Its totient is φ = 70108416.

The previous prime is 314189819. The next prime is 314189831. The reversal of 314189820 is 28981413.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161574 + ... + 163506.

It is an arithmetic number, because the mean of its divisors is an integer number (5956720).

Almost surely, 2^314189820 is an apocalyptic number.

314189820 is a gapful number since it is divisible by the number (30) 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 314189820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571845120).

314189820 is an abundant number, since it is smaller than the sum of its proper divisors (829500420).

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

314189820 is a wasteful number, since it uses less digits than its factorization.

314189820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 314189820 is about 17725.4004186083. The cubic root of 314189820 is about 679.8253732674.

The spelling of 314189820 in words is "three hundred fourteen million, one hundred eighty-nine thousand, eight hundred twenty".