212610960 has 160 divisors (see below), whose sum is σ = 737095680. Its totient is φ = 56328192.

The previous prime is 212610947. The next prime is 212610961. The reversal of 212610960 is 69016212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212610961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 554929 + ... + 555311.

It is an arithmetic number, because the mean of its divisors is an integer number (4606848).

Almost surely, 2^212610960 is an apocalyptic number.

212610960 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 212610960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368547840).

212610960 is an abundant number, since it is smaller than the sum of its proper divisors (524484720).

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

212610960 is a wasteful number, since it uses less digits than its factorization.

212610960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 212610960 is about 14581.1851370182. The cubic root of 212610960 is about 596.8454436905.

The spelling of 212610960 in words is "two hundred twelve million, six hundred ten thousand, nine hundred sixty".