213632064 has 84 divisors (see below), whose sum is σ = 648387324. Its totient is φ = 67018752.

The previous prime is 213632057. The next prime is 213632093. The reversal of 213632064 is 460236312.

213632064 is a `hidden beast` number, since 21 + 3 + 632 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155750400 + 57881664 = 12480^2 + 7608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117 + ... + 20700.

Almost surely, 2^213632064 is an apocalyptic number.

213632064 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 213632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324193662).

213632064 is an abundant number, since it is smaller than the sum of its proper divisors (434755260).

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

213632064 is a wasteful number, since it uses less digits than its factorization.

213632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21852 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 213632064 is about 14616.1576346179. The cubic root of 213632064 is about 597.7994055071.

Adding to 213632064 its reverse (460236312), we get a palindrome (673868376).

The spelling of 213632064 in words is "two hundred thirteen million, six hundred thirty-two thousand, sixty-four".