1675627168 has 48 divisors (see below), whose sum is σ = 3527642664. Its totient is φ = 780697600.

The previous prime is 1675627153. The next prime is 1675627201. The reversal of 1675627168 is 8617265761.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1618291984 + 57335184 = 40228^2 + 7572^2 .

It is a super-2 number, since 2×1675627168² = 5615452812279400448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39696 + ... + 70192.

Almost surely, 2^1675627168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675627168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763821332).

1675627168 is an abundant number, since it is smaller than the sum of its proper divisors (1852015496).

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

1675627168 is a wasteful number, since it uses less digits than its factorization.

1675627168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30625 (or 30617 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 1675627168 is about 40934.4252188790. The cubic root of 1675627168 is about 1187.7520748420.

The spelling of 1675627168 in words is "one billion, six hundred seventy-five million, six hundred twenty-seven thousand, one hundred sixty-eight".