213664704 has 168 divisors, whose sum is σ = 659154384. Its totient is φ = 60825600.

The previous prime is 213664697. The next prime is 213664739. The reversal of 213664704 is 407466312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394674 + ... + 395214.

It is an arithmetic number, because the mean of its divisors is an integer number (3923538).

Almost surely, 2^213664704 is an apocalyptic number.

213664704 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 213664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329577192).

213664704 is an abundant number, since it is smaller than the sum of its proper divisors (445489680).

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

213664704 is a wasteful number, since it uses less digits than its factorization.

213664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 213664704 is about 14617.2741644946. The cubic root of 213664704 is about 597.8298490940.

The spelling of 213664704 in words is "two hundred thirteen million, six hundred sixty-four thousand, seven hundred four".