213576080 has 40 divisors (see below), whose sum is σ = 497559672. Its totient is φ = 85259264.

The previous prime is 213576043. The next prime is 213576089. The reversal of 213576080 is 80675312.

It is a happy number.

213576080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16679056 + 196897024 = 4084^2 + 14032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×213576080² = 91229483896332800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213576089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42164 + ... + 46956.

Almost surely, 2^213576080 is an apocalyptic number.

213576080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213576080 is an abundant number, since it is smaller than the sum of its proper divisors (283983592).

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

213576080 is a wasteful number, since it uses less digits than its factorization.

213576080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 213576080 is about 14614.2423683200. The cubic root of 213576080 is about 597.7471815647.

The spelling of 213576080 in words is "two hundred thirteen million, five hundred seventy-six thousand, eighty".