212711688 has 192 divisors, whose sum is σ = 703248000. Its totient is φ = 56733696.

The previous prime is 212711651. The next prime is 212711693. The reversal of 212711688 is 886117212.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928758 + ... + 928986.

It is an arithmetic number, because the mean of its divisors is an integer number (3662750).

Almost surely, 2^212711688 is an apocalyptic number.

212711688 is a gapful number since it is divisible by the number (28) 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 212711688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351624000).

212711688 is an abundant number, since it is smaller than the sum of its proper divisors (490536312).

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

212711688 is a wasteful number, since it uses less digits than its factorization.

212711688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 212711688 is about 14584.6387682383. The cubic root of 212711688 is about 596.9396839815.

The spelling of 212711688 in words is "two hundred twelve million, seven hundred eleven thousand, six hundred eighty-eight".