212871560 has 64 divisors (see below), whose sum is σ = 525813120. Its totient is φ = 76917760.

The previous prime is 212871557. The next prime is 212871623. The reversal of 212871560 is 65178212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72032 + ... + 74928.

It is an arithmetic number, because the mean of its divisors is an integer number (8215830).

Almost surely, 2^212871560 is an apocalyptic number.

212871560 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 212871560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262906560).

212871560 is an abundant number, since it is smaller than the sum of its proper divisors (312941560).

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

212871560 is a wasteful number, since it uses less digits than its factorization.

212871560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 212871560 is about 14590.1185738842. The cubic root of 212871560 is about 597.0891978501.

The spelling of 212871560 in words is "two hundred twelve million, eight hundred seventy-one thousand, five hundred sixty".