873692352 has 448 divisors, whose sum is σ = 3072384000. Its totient is φ = 240869376.

The previous prime is 873692341. The next prime is 873692387. The reversal of 873692352 is 253296378.

It is a junction number, because it is equal to n+sod(n) for n = 873692298 and 873692307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9816724 + ... + 9816812.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^873692352 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 873692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192000).

873692352 is an abundant number, since it is smaller than the sum of its proper divisors (2198691648).

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

873692352 is a wasteful number, since it uses less digits than its factorization.

873692352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 873692352 is about 29558.2873658133. The cubic root of 873692352 is about 955.9888889543.

The spelling of 873692352 in words is "eight hundred seventy-three million, six hundred ninety-two thousand, three hundred fifty-two".