213422760 has 192 divisors, whose sum is σ = 752431680. Its totient is φ = 52254720.

The previous prime is 213422747. The next prime is 213422789. The reversal of 213422760 is 67224312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262755 + ... + 263565.

It is an arithmetic number, because the mean of its divisors is an integer number (3918915).

Almost surely, 2^213422760 is an apocalyptic number.

213422760 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 213422760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376215840).

213422760 is an abundant number, since it is smaller than the sum of its proper divisors (539008920).

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

213422760 is a wasteful number, since it uses less digits than its factorization.

213422760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 213422760 is about 14608.9958587166. The cubic root of 213422760 is about 597.6041122710.

The spelling of 213422760 in words is "two hundred thirteen million, four hundred twenty-two thousand, seven hundred sixty".