867492864 has 396 divisors, whose sum is σ = 3112529004. Its totient is φ = 231211008.

The previous prime is 867492859. The next prime is 867492877. The reversal of 867492864 is 468294768.

It can be written as a sum of positive squares in 2 ways, for example, as 282240000 + 585252864 = 16800^2 + 24192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 867492864.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676872 + ... + 7676984.

Almost surely, 2^867492864 is an apocalyptic number.

867492864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556264502).

867492864 is an abundant number, since it is smaller than the sum of its proper divisors (2245036140).

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

867492864 is a wasteful number, since it uses less digits than its factorization.

867492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 867492864 is about 29453.2318090902. The cubic root of 867492864 is about 953.7223721762.

The spelling of 867492864 in words is "eight hundred sixty-seven million, four hundred ninety-two thousand, eight hundred sixty-four".