873648384 has 144 divisors (see below), whose sum is σ = 2685325440. Its totient is φ = 246988800.

The previous prime is 873648379. The next prime is 873648409. The reversal of 873648384 is 483846378.

It is a super-2 number, since 2×873648384² = 1526522997731622912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542172 + ... + 543780.

Almost surely, 2^873648384 is an apocalyptic number.

873648384 is a gapful number since it is divisible by the number (84) 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 873648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342662720).

873648384 is an abundant number, since it is smaller than the sum of its proper divisors (1811677056).

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

873648384 is a wasteful number, since it uses less digits than its factorization.

873648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1722 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 873648384 is about 29557.5436056517. The cubic root of 873648384 is about 955.9728521787.

The spelling of 873648384 in words is "eight hundred seventy-three million, six hundred forty-eight thousand, three hundred eighty-four".