872883648 has 504 divisors, whose sum is σ = 3285347760. Its totient is φ = 226437120.

The previous prime is 872883629. The next prime is 872883653. The reversal of 872883648 is 846388278.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×872883648³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 872883594 and 872883603.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 14309538 + ... + 14309598.

Almost surely, 2^872883648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642673880).

872883648 is an abundant number, since it is smaller than the sum of its proper divisors (2412464112).

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

872883648 is a wasteful number, since it uses less digits than its factorization.

872883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 872883648 is about 29544.6043804956. The cubic root of 872883648 is about 955.6938382252.

The spelling of 872883648 in words is "eight hundred seventy-two million, eight hundred eighty-three thousand, six hundred forty-eight".