212657620 has 48 divisors (see below), whose sum is σ = 516555648. Its totient is φ = 72028800.

The previous prime is 212657617. The next prime is 212657623. The reversal of 212657620 is 26756212.

It is an interprime number because it is at equal distance from previous prime (212657617) and next prime (212657623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212657623) 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, 2470 + ... + 20770.

It is an arithmetic number, because the mean of its divisors is an integer number (10761576).

Almost surely, 2^212657620 is an apocalyptic number.

212657620 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 212657620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258277824).

212657620 is an abundant number, since it is smaller than the sum of its proper divisors (303898028).

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

212657620 is a wasteful number, since it uses less digits than its factorization.

212657620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400 (or 18398 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 212657620 is about 14582.7850563601. The cubic root of 212657620 is about 596.8891021037.

The spelling of 212657620 in words is "two hundred twelve million, six hundred fifty-seven thousand, six hundred twenty".