873387648 has 384 divisors, whose sum is σ = 3184945920. Its totient is φ = 223838208.

The previous prime is 873387629. The next prime is 873387653. The reversal of 873387648 is 846783378.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 873387594 and 873387603.

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, 3152886 + ... + 3153162.

It is an arithmetic number, because the mean of its divisors is an integer number (8294130).

Almost surely, 2^873387648 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 873387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592472960).

873387648 is an abundant number, since it is smaller than the sum of its proper divisors (2311558272).

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

873387648 is a wasteful number, since it uses less digits than its factorization.

873387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 873387648 is about 29553.1326258317. The cubic root of 873387648 is about 955.8777409407.

It can be divided in two parts, 873 and 387648, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 873387648 in words is "eight hundred seventy-three million, three hundred eighty-seven thousand, six hundred forty-eight".