826025120 has 48 divisors (see below), whose sum is σ = 1961366400. Its totient is φ = 328737024.

The previous prime is 826025119. The next prime is 826025129. The reversal of 826025120 is 21520628.

It is a self number, because there is not a number n which added to its sum of digits gives 826025120.

It is not an unprimeable number, because it can be changed into a prime (826025129) 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 7 ways as a sum of consecutive naturals, for example, 18869 + ... + 44811.

It is an arithmetic number, because the mean of its divisors is an integer number (40861800).

Almost surely, 2^826025120 is an apocalyptic number.

826025120 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 826025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980683200).

826025120 is an abundant number, since it is smaller than the sum of its proper divisors (1135341280).

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

826025120 is a wasteful number, since it uses less digits than its factorization.

826025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26157 (or 26149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 826025120 is about 28740.6527413697. The cubic root of 826025120 is about 938.2770309339.

Adding to 826025120 its reverse (21520628), we get a palindrome (847545748).

The spelling of 826025120 in words is "eight hundred twenty-six million, twenty-five thousand, one hundred twenty".