213796960 has 192 divisors, whose sum is σ = 586776960. Its totient is φ = 72990720.

The previous prime is 213796909. The next prime is 213796963. The reversal of 213796960 is 69697312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213796963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961386 + ... + 1961494.

It is an arithmetic number, because the mean of its divisors is an integer number (3056130).

Almost surely, 2^213796960 is an apocalyptic number.

213796960 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 213796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293388480).

213796960 is an abundant number, since it is smaller than the sum of its proper divisors (372980000).

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

213796960 is a wasteful number, since it uses less digits than its factorization.

213796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 213796960 is about 14621.7974271291. The cubic root of 213796960 is about 597.9531735909.

The spelling of 213796960 in words is "two hundred thirteen million, seven hundred ninety-six thousand, nine hundred sixty".