213960 has 32 divisors (see below), whose sum is σ = 642240. Its totient is φ = 57024.

The previous prime is 213953. The next prime is 213973. The reversal of 213960 is 69312.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213960.

It is an unprimeable number.

213960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (20070).

2²¹³⁹⁶⁰ is an apocalyptic number.

213960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213960 is an abundant number, since it is smaller than the sum of its proper divisors (428280).

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

213960 is a wasteful number, since it uses less digits than its factorization.

213960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 213960 is about 462.5581044582. The cubic root of 213960 is about 59.8105133210.

It can be divided in two parts, 213 and 960, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 213960 in words is "two hundred thirteen thousand, nine hundred sixty".