1790825168 has 120 divisors (see below), whose sum is σ = 3989744640. Its totient is φ = 777145600.

The previous prime is 1790825147. The next prime is 1790825177. The reversal of 1790825168 is 8615280971.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9375953 + ... + 9376143.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^1790825168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1790825168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1790825168 is an abundant number, since it is smaller than the sum of its proper divisors (2198919472).

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

1790825168 is a wasteful number, since it uses less digits than its factorization.

1790825168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The square root of 1790825168 is about 42318.1423032722. The cubic root of 1790825168 is about 1214.3700930813.

The spelling of 1790825168 in words is "one billion, seven hundred ninety million, eight hundred twenty-five thousand, one hundred sixty-eight".