825822144 has 168 divisors, whose sum is σ = 2792910848. Its totient is φ = 228303360.

The previous prime is 825822143. The next prime is 825822149. The reversal of 825822144 is 441228528.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 825822144 = 439³ + 905³ = 722³ + 766³.

It is a junction number, because it is equal to n+sod(n) for n = 825822099 and 825822108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825822143) 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, 121689 + ... + 128295.

Almost surely, 2^825822144 is an apocalyptic number.

825822144 is a gapful number since it is divisible by the number (84) 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 825822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396455424).

825822144 is an abundant number, since it is smaller than the sum of its proper divisors (1967088704).

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

825822144 is a wasteful number, since it uses less digits than its factorization.

825822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6650 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 825822144 is about 28737.1213589670. The cubic root of 825822144 is about 938.2001715603.

The spelling of 825822144 in words is "eight hundred twenty-five million, eight hundred twenty-two thousand, one hundred forty-four".