213084720 has 60 divisors (see below), whose sum is σ = 715611936. Its totient is φ = 56822400.

The previous prime is 213084701. The next prime is 213084727. The reversal of 213084720 is 27480312.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (213084727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147256 + ... + 148695.

Almost surely, 2^213084720 is an apocalyptic number.

213084720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213084720 is an abundant number, since it is smaller than the sum of its proper divisors (502527216).

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

213084720 is a wasteful number, since it uses less digits than its factorization.

213084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295970 (or 295961 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 213084720 is about 14597.4216901479. The cubic root of 213084720 is about 597.2884307809.

The spelling of 213084720 in words is "two hundred thirteen million, eighty-four thousand, seven hundred twenty".