864025600 has 66 divisors (see below), whose sum is σ = 2141800664. Its totient is φ = 345600000.

The previous prime is 864025597. The next prime is 864025619. The reversal of 864025600 is 6520468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8725 + ... + 42475.

Almost surely, 2^864025600 is an apocalyptic number.

864025600 is a gapful number since it is divisible by the number (80) 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 864025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070900332).

864025600 is an abundant number, since it is smaller than the sum of its proper divisors (1277775064).

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

864025600 is a wasteful number, since it uses less digits than its factorization.

864025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33781 (or 33758 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 864025600 is about 29394.3123750157. The cubic root of 864025600 is about 952.4500379091.

The spelling of 864025600 in words is "eight hundred sixty-four million, twenty-five thousand, six hundred".