210640000 has 80 divisors (see below), whose sum is σ = 524574270. Its totient is φ = 84224000.

The previous prime is 210639977. The next prime is 210640039. The reversal of 210640000 is 46012.

It can be written as a sum of positive squares in 5 ways, for example, as 1201216 + 209438784 = 1096^2 + 14472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78684 + ... + 81316.

Almost surely, 2^210640000 is an apocalyptic number.

210640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262287135).

210640000 is an abundant number, since it is smaller than the sum of its proper divisors (313934270).

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

210640000 is an frugal number, since it uses more digits than its factorization.

210640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 210640000 is about 14513.4420452214. The cubic root of 210640000 is about 594.9954098933.

Adding to 210640000 its reverse (46012), we get a palindrome (210686012).

The spelling of 210640000 in words is "two hundred ten million, six hundred forty thousand".