825126000 has 160 divisors (see below), whose sum is σ = 2685953088. Its totient is φ = 217907200.

The previous prime is 825125969. The next prime is 825126013. The reversal of 825126000 is 621528.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677392 + ... + 678608.

Almost surely, 2^825126000 is an apocalyptic number.

825126000 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 825126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342976544).

825126000 is an abundant number, since it is smaller than the sum of its proper divisors (1860827088).

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

825126000 is a wasteful number, since it uses less digits than its factorization.

825126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 825126000 is about 28725.0065274144. The cubic root of 825126000 is about 937.9364723154.

Adding to 825126000 its reverse (621528), we get a palindrome (825747528).

The spelling of 825126000 in words is "eight hundred twenty-five million, one hundred twenty-six thousand".