214864020 has 216 divisors, whose sum is σ = 803321064. Its totient is φ = 46190592.

The previous prime is 214863997. The next prime is 214864031. The reversal of 214864020 is 20468412.

214864020 is a `hidden beast` number, since 2 + 14 + 8 + 640 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78535044 + 136328976 = 8862^2 + 11676^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149224 + ... + 150656.

It is an arithmetic number, because the mean of its divisors is an integer number (3719079).

Almost surely, 2^214864020 is an apocalyptic number.

214864020 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 214864020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401660532).

214864020 is an abundant number, since it is smaller than the sum of its proper divisors (588457044).

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

214864020 is a wasteful number, since it uses less digits than its factorization.

214864020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 214864020 is about 14658.2406857030. The cubic root of 214864020 is about 598.9463173379.

The spelling of 214864020 in words is "two hundred fourteen million, eight hundred sixty-four thousand, twenty".