825853600 has 144 divisors (see below), whose sum is σ = 2368910880. Its totient is φ = 277171200.

The previous prime is 825853583. The next prime is 825853603. The reversal of 825853600 is 6358528.

It is a self number, because there is not a number n which added to its sum of digits gives 825853600.

It is not an unprimeable number, because it can be changed into a prime (825853603) 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, 110791 + ... + 118009.

It is an arithmetic number, because the mean of its divisors is an integer number (16450770).

Almost surely, 2^825853600 is an apocalyptic number.

825853600 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 825853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184455440).

825853600 is an abundant number, since it is smaller than the sum of its proper divisors (1543057280).

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

825853600 is a wasteful number, since it uses less digits than its factorization.

825853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 825853600 is about 28737.6686597922. The cubic root of 825853600 is about 938.2120835884.

The spelling of 825853600 in words is "eight hundred twenty-five million, eight hundred fifty-three thousand, six hundred".