213566464 has 44 divisors (see below), whose sum is σ = 432924124. Its totient is φ = 105283584.

The previous prime is 213566413. The next prime is 213566491. The reversal of 213566464 is 464665312.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 80856064 = 11520^2 + 8992^2 .

It is a super-2 number, since 2×213566464² = 91221269090926592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73324 + ... + 76180.

Almost surely, 2^213566464 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 213566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216462062).

213566464 is an abundant number, since it is smaller than the sum of its proper divisors (219357660).

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

213566464 is an equidigital number, since it uses as much as digits as its factorization.

213566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2932 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 213566464 is about 14613.9133704836. The cubic root of 213566464 is about 597.7382104865.

The spelling of 213566464 in words is "two hundred thirteen million, five hundred sixty-six thousand, four hundred sixty-four".