212764160 has 160 divisors (see below), whose sum is σ = 603389952. Its totient is φ = 70410240.

The previous prime is 212764133. The next prime is 212764169. The reversal of 212764160 is 61467212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212764169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555329 + ... + 555711.

Almost surely, 2^212764160 is an apocalyptic number.

212764160 is a gapful number since it is divisible by the number (20) 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 212764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301694976).

212764160 is an abundant number, since it is smaller than the sum of its proper divisors (390625792).

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

212764160 is an equidigital number, since it uses as much as digits as its factorization.

212764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 212764160 is about 14586.4375362869. The cubic root of 212764160 is about 596.9887645691.

The spelling of 212764160 in words is "two hundred twelve million, seven hundred sixty-four thousand, one hundred sixty".