213466616 has 64 divisors (see below), whose sum is σ = 457267680. Its totient is φ = 92551680.

The previous prime is 213466607. The next prime is 213466679. The reversal of 213466616 is 616664312.

It is a super-2 number, since 2×213466616² = 91135992292982912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171950 + ... + 173186.

Almost surely, 2^213466616 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 213466616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228633840).

213466616 is an abundant number, since it is smaller than the sum of its proper divisors (243801064).

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

213466616 is a wasteful number, since it uses less digits than its factorization.

213466616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 213466616 is about 14610.4967745796. The cubic root of 213466616 is about 597.6450431304.

The spelling of 213466616 in words is "two hundred thirteen million, four hundred sixty-six thousand, six hundred sixteen".