210140064 has 144 divisors (see below), whose sum is σ = 619164000. Its totient is φ = 67573248.

The previous prime is 210140039. The next prime is 210140083. The reversal of 210140064 is 460041012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1410262 + ... + 1410410.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^210140064 is an apocalyptic number.

210140064 is a gapful number since it is divisible by the number (24) 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 210140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582000).

210140064 is an abundant number, since it is smaller than the sum of its proper divisors (409023936).

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

210140064 is a wasteful number, since it uses less digits than its factorization.

210140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 210140064 is about 14496.2086077705. The cubic root of 210140064 is about 594.5243134449.

Adding to 210140064 its reverse (460041012), we get a palindrome (670181076).

The spelling of 210140064 in words is "two hundred ten million, one hundred forty thousand, sixty-four".