872504610 has 64 divisors (see below), whose sum is σ = 2166027264. Its totient is φ = 224697600.

The previous prime is 872504597. The next prime is 872504627. The reversal of 872504610 is 16405278.

It is a super-2 number, since 2×872504610² = 1522528588942504200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874632 + ... + 875628.

It is an arithmetic number, because the mean of its divisors is an integer number (33844176).

Almost surely, 2^872504610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872504610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083013632).

872504610 is an abundant number, since it is smaller than the sum of its proper divisors (1293522654).

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

872504610 is a wasteful number, since it uses less digits than its factorization.

872504610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 872504610 is about 29538.1890101611. The cubic root of 872504610 is about 955.5554857931. Note that the first 3 decimals are identical.

Adding to 872504610 its reverse (16405278), we get a palindrome (888909888).

The spelling of 872504610 in words is "eight hundred seventy-two million, five hundred four thousand, six hundred ten".