872904648 has 192 divisors, whose sum is σ = 2862074880. Its totient is φ = 216754560.

The previous prime is 872904623. The next prime is 872904667. The reversal of 872904648 is 846409278.

872904648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 872904597 and 872904606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466611 + ... + 468477.

It is an arithmetic number, because the mean of its divisors is an integer number (14906640).

Almost surely, 2^872904648 is an apocalyptic number.

872904648 is a gapful number since it is divisible by the number (88) 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 872904648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431037440).

872904648 is an abundant number, since it is smaller than the sum of its proper divisors (1989170232).

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

872904648 is a wasteful number, since it uses less digits than its factorization.

872904648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 872904648 is about 29544.9597731999. The cubic root of 872904648 is about 955.7015022515.

The spelling of 872904648 in words is "eight hundred seventy-two million, nine hundred four thousand, six hundred forty-eight".