873506144 has 144 divisors (see below), whose sum is σ = 2131502688. Its totient is φ = 350558208.

The previous prime is 873506143. The next prime is 873506267. The reversal of 873506144 is 441605378.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 873506098 and 873506107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873506143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911164 + ... + 1911620.

It is an arithmetic number, because the mean of its divisors is an integer number (14802102).

Almost surely, 2^873506144 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 873506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065751344).

873506144 is an abundant number, since it is smaller than the sum of its proper divisors (1257996544).

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

873506144 is a wasteful number, since it uses less digits than its factorization.

873506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 873506144 is about 29555.1373537664. The cubic root of 873506144 is about 955.9209682395.

The spelling of 873506144 in words is "eight hundred seventy-three million, five hundred six thousand, one hundred forty-four".