214564520 has 64 divisors (see below), whose sum is σ = 493186320. Its totient is φ = 83994624.

The previous prime is 214564499. The next prime is 214564529. The reversal of 214564520 is 25465412.

It can be written as a sum of positive squares in 8 ways, for example, as 168948004 + 45616516 = 12998^2 + 6754^2 .

It is not an unprimeable number, because it can be changed into a prime (214564529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575054 + ... + 575426.

Almost surely, 2^214564520 is an apocalyptic number.

214564520 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 214564520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246593160).

214564520 is an abundant number, since it is smaller than the sum of its proper divisors (278621800).

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

214564520 is a wasteful number, since it uses less digits than its factorization.

214564520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 214564520 is about 14648.0210267462. The cubic root of 214564520 is about 598.6678965412.

The spelling of 214564520 in words is "two hundred fourteen million, five hundred sixty-four thousand, five hundred twenty".