214881020 has 48 divisors (see below), whose sum is σ = 479037888. Its totient is φ = 80686080.

The previous prime is 214881011. The next prime is 214881053. The reversal of 214881020 is 20188412.

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 15 ways as a sum of consecutive naturals, for example, 207905 + ... + 208935.

It is an arithmetic number, because the mean of its divisors is an integer number (9979956).

Almost surely, 2^214881020 is an apocalyptic number.

214881020 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 214881020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239518944).

214881020 is an abundant number, since it is smaller than the sum of its proper divisors (264156868).

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

214881020 is a wasteful number, since it uses less digits than its factorization.

214881020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 214881020 is about 14658.8205528276. The cubic root of 214881020 is about 598.9621130939.

The spelling of 214881020 in words is "two hundred fourteen million, eight hundred eighty-one thousand, twenty".