212981560 has 64 divisors (see below), whose sum is σ = 532694880. Its totient is φ = 75978240.

The previous prime is 212981519. The next prime is 212981567. The reversal of 212981560 is 65189212.

It is a super-2 number, since 2×212981560² = 90722289800067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212981567) 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, 18754 + ... + 27886.

Almost surely, 2^212981560 is an apocalyptic number.

212981560 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 212981560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266347440).

212981560 is an abundant number, since it is smaller than the sum of its proper divisors (319713320).

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

212981560 is a wasteful number, since it uses less digits than its factorization.

212981560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 212981560 is about 14593.8877616624. The cubic root of 212981560 is about 597.1920274653.

The spelling of 212981560 in words is "two hundred twelve million, nine hundred eighty-one thousand, five hundred sixty".