1679094144 has 512 divisors, whose sum is σ = 6443136000. Its totient is φ = 418037760.

The previous prime is 1679094127. The next prime is 1679094149. The reversal of 1679094144 is 4414909761.

It is a self number, because there is not a number n which added to its sum of digits gives 1679094144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679094149) 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 63 ways as a sum of consecutive naturals, for example, 5975284 + ... + 5975564.

It is an arithmetic number, because the mean of its divisors is an integer number (12584250).

Almost surely, 2^1679094144 is an apocalyptic number.

1679094144 is a gapful number since it is divisible by the number (14) 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 1679094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221568000).

1679094144 is an abundant number, since it is smaller than the sum of its proper divisors (4764041856).

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

1679094144 is a wasteful number, since it uses less digits than its factorization.

1679094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1679094144 is about 40976.7512621486. The cubic root of 1679094144 is about 1188.5706879574.

The spelling of 1679094144 in words is "one billion, six hundred seventy-nine million, ninety-four thousand, one hundred forty-four".