1673727160 has 64 divisors (see below), whose sum is σ = 4318110720. Its totient is φ = 571950720.

The previous prime is 1673727151. The next prime is 1673727161. The reversal of 1673727160 is 617273761.

It is a super-2 number, since 2×1673727160² = 5602725212243331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673727161) 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, 76225 + ... + 95695.

It is an arithmetic number, because the mean of its divisors is an integer number (67470480).

Almost surely, 2^1673727160 is an apocalyptic number.

1673727160 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 1673727160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159055360).

1673727160 is an abundant number, since it is smaller than the sum of its proper divisors (2644383560).

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

1673727160 is a wasteful number, since it uses less digits than its factorization.

1673727160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19796 (or 19792 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 1673727160 is about 40911.2106885142. The cubic root of 1673727160 is about 1187.3029709674.

The spelling of 1673727160 in words is "one billion, six hundred seventy-three million, seven hundred twenty-seven thousand, one hundred sixty".