1673901824 has 144 divisors (see below), whose sum is σ = 4055950080. Its totient is φ = 673505280.

The previous prime is 1673901799. The next prime is 1673901829. The reversal of 1673901824 is 4281093761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673901829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7184012 + ... + 7184244.

It is an arithmetic number, because the mean of its divisors is an integer number (28166320).

Almost surely, 2^1673901824 is an apocalyptic number.

1673901824 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 1673901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027975040).

1673901824 is an abundant number, since it is smaller than the sum of its proper divisors (2382048256).

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

1673901824 is a wasteful number, since it uses less digits than its factorization.

1673901824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1673901824 is about 40913.3453044358. The cubic root of 1673901824 is about 1187.3442703854.

The spelling of 1673901824 in words is "one billion, six hundred seventy-three million, nine hundred one thousand, eight hundred twenty-four".