211564720 has 40 divisors (see below), whose sum is σ = 493004160. Its totient is φ = 84433920.

The previous prime is 211564697. The next prime is 211564723. The reversal of 211564720 is 27465112.

211564720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-5 number, since 5×211564720⁵ (a number of 43 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (211564723) 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, 35560 + ... + 41080.

It is an arithmetic number, because the mean of its divisors is an integer number (12325104).

Almost surely, 2^211564720 is an apocalyptic number.

211564720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211564720 is an abundant number, since it is smaller than the sum of its proper divisors (281439440).

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

211564720 is a wasteful number, since it uses less digits than its factorization.

211564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 211564720 is about 14545.2645214860. The cubic root of 211564720 is about 595.8648252817.

The spelling of 211564720 in words is "two hundred eleven million, five hundred sixty-four thousand, seven hundred twenty".