212176640 has 144 divisors (see below), whose sum is σ = 562476096. Its totient is φ = 76185600.

The previous prime is 212176631. The next prime is 212176669. The reversal of 212176640 is 46671212.

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 15 ways as a sum of consecutive naturals, for example, 682085 + ... + 682395.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^212176640 is an apocalyptic number.

212176640 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 212176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238048).

212176640 is an abundant number, since it is smaller than the sum of its proper divisors (350299456).

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

212176640 is a wasteful number, since it uses less digits than its factorization.

212176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

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

The square root of 212176640 is about 14566.2843580647. The cubic root of 212176640 is about 596.4387562431.

The spelling of 212176640 in words is "two hundred twelve million, one hundred seventy-six thousand, six hundred forty".