213679680 has 112 divisors (see below), whose sum is σ = 685336704. Its totient is φ = 56401920.

The previous prime is 213679679. The next prime is 213679717. The reversal of 213679680 is 86976312.

213679680 = T₄₇₆ + T₄₇₇ + ... + T₁₁₁₅.

It is a happy number.

213679680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97800 + ... + 99960.

Almost surely, 2^213679680 is an apocalyptic number.

213679680 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 213679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342668352).

213679680 is an abundant number, since it is smaller than the sum of its proper divisors (471657024).

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

213679680 is a wasteful number, since it uses less digits than its factorization.

213679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 213679680 is about 14617.7864261317. The cubic root of 213679680 is about 597.8438162904.

The spelling of 213679680 in words is "two hundred thirteen million, six hundred seventy-nine thousand, six hundred eighty".