210696480 has 72 divisors (see below), whose sum is σ = 719006652. Its totient is φ = 56185344.

The previous prime is 210696467. The next prime is 210696481. The reversal of 210696480 is 84696012.

210696480 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 9 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199487376 + 11209104 = 14124^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (210696481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71719 + ... + 74598.

Almost surely, 2^210696480 is an apocalyptic number.

210696480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210696480 is an abundant number, since it is smaller than the sum of its proper divisors (508310172).

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

210696480 is a wasteful number, since it uses less digits than its factorization.

210696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146338 (or 146327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 210696480 is about 14515.3876971991. The cubic root of 210696480 is about 595.0485848800.

The spelling of 210696480 in words is "two hundred ten million, six hundred ninety-six thousand, four hundred eighty".