873903240 has 288 divisors, whose sum is σ = 3341969280. Its totient is φ = 197455104.

The previous prime is 873903223. The next prime is 873903269. The reversal of 873903240 is 42309378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 873903195 and 873903204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1887249 + ... + 1887711.

It is an arithmetic number, because the mean of its divisors is an integer number (11604060).

Almost surely, 2^873903240 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 873903240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670984640).

873903240 is an abundant number, since it is smaller than the sum of its proper divisors (2468066040).

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

873903240 is a wasteful number, since it uses less digits than its factorization.

873903240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 873903240 is about 29561.8544749818. The cubic root of 873903240 is about 956.0658002246.

The spelling of 873903240 in words is "eight hundred seventy-three million, nine hundred three thousand, two hundred forty".