876285648 has 320 divisors, whose sum is σ = 3079802880. Its totient is φ = 233114112.

The previous prime is 876285647. The next prime is 876285667. The reversal of 876285648 is 846582678.

876285648 is a `hidden beast` number, since 8 + 7 + 628 + 5 + 6 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 876285594 and 876285603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876285647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2990590 + ... + 2990882.

It is an arithmetic number, because the mean of its divisors is an integer number (9624384).

Almost surely, 2^876285648 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 876285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539901440).

876285648 is an abundant number, since it is smaller than the sum of its proper divisors (2203517232).

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

876285648 is a wasteful number, since it uses less digits than its factorization.

876285648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 876285648 is about 29602.1223563447. The cubic root of 876285648 is about 956.9338109312.

The spelling of 876285648 in words is "eight hundred seventy-six million, two hundred eighty-five thousand, six hundred forty-eight".