214043664 has 80 divisors (see below), whose sum is σ = 602193600. Its totient is φ = 65253888.

The previous prime is 214043653. The next prime is 214043677. The reversal of 214043664 is 466340412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22402 + ... + 30494.

It is an arithmetic number, because the mean of its divisors is an integer number (7527420).

Almost surely, 2^214043664 is an apocalyptic number.

214043664 is a gapful number since it is divisible by the number (24) 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 214043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301096800).

214043664 is an abundant number, since it is smaller than the sum of its proper divisors (388149936).

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

214043664 is a wasteful number, since it uses less digits than its factorization.

214043664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 214043664 is about 14630.2311670048. The cubic root of 214043664 is about 598.1830813425.

The spelling of 214043664 in words is "two hundred fourteen million, forty-three thousand, six hundred sixty-four".