1679146848 has 240 divisors, whose sum is σ = 5334880320. Its totient is φ = 516132864.

The previous prime is 1679146829. The next prime is 1679146849. The reversal of 1679146848 is 8486419761.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1679146794 and 1679146803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679146849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2335033 + ... + 2335751.

It is an arithmetic number, because the mean of its divisors is an integer number (22228668).

Almost surely, 2^1679146848 is an apocalyptic number.

1679146848 is a gapful number since it is divisible by the number (18) 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 1679146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667440160).

1679146848 is an abundant number, since it is smaller than the sum of its proper divisors (3655733472).

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

1679146848 is a wasteful number, since it uses less digits than its factorization.

1679146848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 794 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1679146848 is about 40977.3943534725. The cubic root of 1679146848 is about 1188.5831235861.

The spelling of 1679146848 in words is "one billion, six hundred seventy-nine million, one hundred forty-six thousand, eight hundred forty-eight".