214676820 has 144 divisors (see below), whose sum is σ = 702636480. Its totient is φ = 52876800.

The previous prime is 214676797. The next prime is 214676831. The reversal of 214676820 is 28676412.

It is a super-2 number, since 2×214676820² = 92172274090624800, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139455 + ... + 140985.

It is an arithmetic number, because the mean of its divisors is an integer number (4879420).

Almost surely, 2^214676820 is an apocalyptic number.

214676820 is a gapful number since it is divisible by the number (20) 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 214676820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351318240).

214676820 is an abundant number, since it is smaller than the sum of its proper divisors (487959660).

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

214676820 is a wasteful number, since it uses less digits than its factorization.

214676820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 214676820 is about 14651.8538076245. The cubic root of 214676820 is about 598.7723230622.

It can be divided in two parts, 214676 and 820, that added together give a triangular number (215496 = T₆₅₆).

The spelling of 214676820 in words is "two hundred fourteen million, six hundred seventy-six thousand, eight hundred twenty".