825498000 has 160 divisors (see below), whose sum is σ = 2957310720. Its totient is φ = 220118400.

The previous prime is 825497999. The next prime is 825498001. The reversal of 825498000 is 894528.

It is an interprime number because it is at equal distance from previous prime (825497999) and next prime (825498001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (825498001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46357 + ... + 61643.

It is an arithmetic number, because the mean of its divisors is an integer number (18483192).

Almost surely, 2^825498000 is an apocalyptic number.

825498000 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 825498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478655360).

825498000 is an abundant number, since it is smaller than the sum of its proper divisors (2131812720).

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

825498000 is a wasteful number, since it uses less digits than its factorization.

825498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 825498000 is about 28731.4809921104. The cubic root of 825498000 is about 938.0774043049.

The spelling of 825498000 in words is "eight hundred twenty-five million, four hundred ninety-eight thousand".