213960528 has 120 divisors (see below), whose sum is σ = 627751488. Its totient is φ = 70543872.

The previous prime is 213960499. The next prime is 213960553. The reversal of 213960528 is 825069312.

213960528 is a `hidden beast` number, since 21 + 3 + 9 + 605 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213960492 and 213960501.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 439101 + ... + 439587.

Almost surely, 2^213960528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213960528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313875744).

213960528 is an abundant number, since it is smaller than the sum of its proper divisors (413790960).

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

213960528 is a wasteful number, since it uses less digits than its factorization.

213960528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 213960528 is about 14627.3896509254. The cubic root of 213960528 is about 598.1056252016.

The spelling of 213960528 in words is "two hundred thirteen million, nine hundred sixty thousand, five hundred twenty-eight".