213987760 has 80 divisors (see below), whose sum is σ = 571606272. Its totient is φ = 72979200.

The previous prime is 213987727. The next prime is 213987779. The reversal of 213987760 is 67789312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×213987760² = 91581522859635200, which contains 22 as substring.

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, 117255 + ... + 119065.

Almost surely, 2^213987760 is an apocalyptic number.

213987760 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 213987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285803136).

213987760 is an abundant number, since it is smaller than the sum of its proper divisors (357618512).

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

213987760 is a wasteful number, since it uses less digits than its factorization.

213987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 213987760 is about 14628.3204777582. The cubic root of 213987760 is about 598.1309989182.

The spelling of 213987760 in words is "two hundred thirteen million, nine hundred eighty-seven thousand, seven hundred sixty".