214516764 has 144 divisors (see below), whose sum is σ = 711809280. Its totient is φ = 52773120.

The previous prime is 214516763. The next prime is 214516769. The reversal of 214516764 is 467615412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214516763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50632 + ... + 54704.

It is an arithmetic number, because the mean of its divisors is an integer number (4943120).

Almost surely, 2^214516764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214516764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355904640).

214516764 is an abundant number, since it is smaller than the sum of its proper divisors (497292516).

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

214516764 is a wasteful number, since it uses less digits than its factorization.

214516764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4115 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 214516764 is about 14646.3908182187. The cubic root of 214516764 is about 598.6234777258.

The spelling of 214516764 in words is "two hundred fourteen million, five hundred sixteen thousand, seven hundred sixty-four".