872580096 has 132 divisors (see below), whose sum is σ = 2556039772. Its totient is φ = 286654464.

The previous prime is 872580089. The next prime is 872580113. The reversal of 872580096 is 690085278.

It can be written as a sum of positive squares in 2 ways, for example, as 748569600 + 124010496 = 27360^2 + 11136^2 .

It is a super-2 number, since 2×872580096² = 1522792047870738432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672120 + ... + 673416.

Almost surely, 2^872580096 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 872580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278019886).

872580096 is an abundant number, since it is smaller than the sum of its proper divisors (1683459676).

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

872580096 is a wasteful number, since it uses less digits than its factorization.

872580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 872580096 is about 29539.4667521267. The cubic root of 872580096 is about 955.5830420874.

The spelling of 872580096 in words is "eight hundred seventy-two million, five hundred eighty thousand, ninety-six".