210709968 has 160 divisors (see below), whose sum is σ = 677170944. Its totient is φ = 55074816.

The previous prime is 210709949. The next prime is 210709987. The reversal of 210709968 is 869907012.

210709968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210709949) and next prime (210709987).

It is a super-2 number, since 2×210709968² = 88797381229122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210846 + ... + 211842.

Almost surely, 2^210709968 is an apocalyptic number.

210709968 is a gapful number since it is divisible by the number (28) 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 210709968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338585472).

210709968 is an abundant number, since it is smaller than the sum of its proper divisors (466460976).

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

210709968 is a wasteful number, since it uses less digits than its factorization.

210709968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 210709968 is about 14515.8523001579. The cubic root of 210709968 is about 595.0612822034.

The spelling of 210709968 in words is "two hundred ten million, seven hundred nine thousand, nine hundred sixty-eight".