211076064 has 48 divisors (see below), whose sum is σ = 615641040. Its totient is φ = 70358400.

The previous prime is 211076059. The next prime is 211076093. The reversal of 211076064 is 460670112.

211076064 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121287 + ... + 123014.

It is an arithmetic number, because the mean of its divisors is an integer number (12825855).

Almost surely, 2^211076064 is an apocalyptic number.

211076064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211076064 is an abundant number, since it is smaller than the sum of its proper divisors (404564976).

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

211076064 is a wasteful number, since it uses less digits than its factorization.

211076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244320 (or 244306 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 211076064 is about 14528.4570412690. The cubic root of 211076064 is about 595.4057106327.

The spelling of 211076064 in words is "two hundred eleven million, seventy-six thousand, sixty-four".