214586820 has 240 divisors, whose sum is σ = 780595200. Its totient is φ = 48335616.

The previous prime is 214586809. The next prime is 214586821. The reversal of 214586820 is 28685412.

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

It is not an unprimeable number, because it can be changed into a prime (214586821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1440106 + ... + 1440254.

It is an arithmetic number, because the mean of its divisors is an integer number (3252480).

Almost surely, 2^214586820 is an apocalyptic number.

214586820 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 214586820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390297600).

214586820 is an abundant number, since it is smaller than the sum of its proper divisors (566008380).

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

214586820 is a wasteful number, since it uses less digits than its factorization.

214586820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 214586820 is about 14648.7822019443. The cubic root of 214586820 is about 598.6886359620.

The spelling of 214586820 in words is "two hundred fourteen million, five hundred eighty-six thousand, eight hundred twenty".