1673981064 has 192 divisors, whose sum is σ = 5327337600. Its totient is φ = 465011712.

The previous prime is 1673981063. The next prime is 1673981077. The reversal of 1673981064 is 4601893761.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1673981063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3005074 + ... + 3005630.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 2^1673981064 is an apocalyptic number.

1673981064 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 1673981064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663668800).

1673981064 is an abundant number, since it is smaller than the sum of its proper divisors (3653356536).

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

1673981064 is a wasteful number, since it uses less digits than its factorization.

1673981064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

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

The square root of 1673981064 is about 40914.3136811556. The cubic root of 1673981064 is about 1187.3630057883.

The spelling of 1673981064 in words is "one billion, six hundred seventy-three million, nine hundred eighty-one thousand, sixty-four".