212681760 has 192 divisors, whose sum is σ = 699560064. Its totient is φ = 54272000.

The previous prime is 212681743. The next prime is 212681767. The reversal of 212681760 is 67186212.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (212681767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987627 + ... + 1987733.

It is an arithmetic number, because the mean of its divisors is an integer number (3643542).

Almost surely, 2^212681760 is an apocalyptic number.

212681760 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 212681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349780032).

212681760 is an abundant number, since it is smaller than the sum of its proper divisors (486878304).

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

212681760 is a wasteful number, since it uses less digits than its factorization.

212681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 212681760 is about 14583.6127211333. The cubic root of 212681760 is about 596.9116866973.

The spelling of 212681760 in words is "two hundred twelve million, six hundred eighty-one thousand, seven hundred sixty".