213959980 has 48 divisors (see below), whose sum is σ = 494202240. Its totient is φ = 77315328.

The previous prime is 213959957. The next prime is 213960013. The reversal of 213959980 is 89959312.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 213959980.

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, 3466 + ... + 20974.

It is an arithmetic number, because the mean of its divisors is an integer number (10295880).

Almost surely, 2^213959980 is an apocalyptic number.

213959980 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 213959980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247101120).

213959980 is an abundant number, since it is smaller than the sum of its proper divisors (280242260).

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

213959980 is a wasteful number, since it uses less digits than its factorization.

213959980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17578 (or 17576 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 213959980 is about 14627.3709189314. The cubic root of 213959980 is about 598.1051145744.

It can be divided in two parts, 21395 and 9980, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 213959980 in words is "two hundred thirteen million, nine hundred fifty-nine thousand, nine hundred eighty".