210772324 has 81 divisors (see below), whose sum is σ = 463391019. Its totient is φ = 83623680.

The previous prime is 210772297. The next prime is 210772327. The reversal of 210772324 is 423277012.

The square root of 210772324 is 14518.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19448100 + 191324224 = 4410^2 + 13832^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 210772292 and 210772301.

It is not an unprimeable number, because it can be changed into a prime (210772327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3455254 + ... + 3455314.

Almost surely, 2^210772324 is an apocalyptic number.

210772324 is the 14518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210772324

210772324 is an abundant number, since it is smaller than the sum of its proper divisors (252618695).

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

210772324 is a wasteful number, since it uses less digits than its factorization.

210772324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The cubic root of 210772324 is about 595.1199758065.

The spelling of 210772324 in words is "two hundred ten million, seven hundred seventy-two thousand, three hundred twenty-four".