867126528 has 108 divisors (see below), whose sum is σ = 2509326820. Its totient is φ = 287981568.

The previous prime is 867126523. The next prime is 867126571. The reversal of 867126528 is 825621768.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 500327424 = 19152^2 + 22368^2 .

It is a super-2 number, since 2×867126528² = 1503816831122669568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867126521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858888 + ... + 859896.

Almost surely, 2^867126528 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 867126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254663410).

867126528 is an abundant number, since it is smaller than the sum of its proper divisors (1642200292).

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

867126528 is a wasteful number, since it uses less digits than its factorization.

867126528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1387 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 867126528 is about 29447.0122083718. The cubic root of 867126528 is about 953.5881032403.

The spelling of 867126528 in words is "eight hundred sixty-seven million, one hundred twenty-six thousand, five hundred twenty-eight".