213500960 has 96 divisors (see below), whose sum is σ = 544510512. Its totient is φ = 78807040.

The previous prime is 213500941. The next prime is 213501007. The reversal of 213500960 is 69005312.

It can be written as a sum of positive squares in 8 ways, for example, as 139334416 + 74166544 = 11804^2 + 8612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143420 + ... + 144900.

Almost surely, 2^213500960 is an apocalyptic number.

213500960 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 213500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272255256).

213500960 is an abundant number, since it is smaller than the sum of its proper divisors (331009552).

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

213500960 is a wasteful number, since it uses less digits than its factorization.

213500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 213500960 is about 14611.6720466892. The cubic root of 213500960 is about 597.6770925145.

The spelling of 213500960 in words is "two hundred thirteen million, five hundred thousand, nine hundred sixty".