213166464 has 96 divisors (see below), whose sum is σ = 658726200. Its totient is φ = 60899328.

The previous prime is 213166441. The next prime is 213166483. The reversal of 213166464 is 464661312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13152 + ... + 24480.

Almost surely, 2^213166464 is an apocalyptic number.

213166464 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 213166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329363100).

213166464 is an abundant number, since it is smaller than the sum of its proper divisors (445559736).

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

213166464 is a wasteful number, since it uses less digits than its factorization.

213166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11341 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 213166464 is about 14600.2213681848. The cubic root of 213166464 is about 597.3647986897.

The spelling of 213166464 in words is "two hundred thirteen million, one hundred sixty-six thousand, four hundred sixty-four".