1673632240 has 120 divisors (see below), whose sum is σ = 4632225840. Its totient is φ = 560415744.

The previous prime is 1673632229. The next prime is 1673632267. The reversal of 1673632240 is 422363761.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1673632196 and 1673632205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163596 + ... + 173524.

It is an arithmetic number, because the mean of its divisors is an integer number (38601882).

Almost surely, 2^1673632240 is an apocalyptic number.

1673632240 is a gapful number since it is divisible by the number (10) 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 1673632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316112920).

1673632240 is an abundant number, since it is smaller than the sum of its proper divisors (2958593600).

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

1673632240 is a wasteful number, since it uses less digits than its factorization.

1673632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9986 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 1673632240 is about 40910.0505988443. The cubic root of 1673632240 is about 1187.2805258658.

The spelling of 1673632240 in words is "one billion, six hundred seventy-three million, six hundred thirty-two thousand, two hundred forty".