1794006144 has 320 divisors, whose sum is σ = 6427713600. Its totient is φ = 485222400.

The previous prime is 1794006143. The next prime is 1794006167. The reversal of 1794006144 is 4416004971.

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

It is a junction number, because it is equal to n+sod(n) for n = 1794006099 and 1794006108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1794006143) 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, 1378294 + ... + 1379594.

It is an arithmetic number, because the mean of its divisors is an integer number (20086605).

Almost surely, 2^1794006144 is an apocalyptic number.

1794006144 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 1794006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213856800).

1794006144 is an abundant number, since it is smaller than the sum of its proper divisors (4633707456).

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

1794006144 is a wasteful number, since it uses less digits than its factorization.

1794006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1794006144 is about 42355.7096977491. The cubic root of 1794006144 is about 1215.0886812272.

The spelling of 1794006144 in words is "one billion, seven hundred ninety-four million, six thousand, one hundred forty-four".