1672506160 has 160 divisors (see below), whose sum is σ = 4494087360. Its totient is φ = 573640704.

The previous prime is 1672506149. The next prime is 1672506197. The reversal of 1672506160 is 616052761.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046482 + ... + 1048078.

It is an arithmetic number, because the mean of its divisors is an integer number (28088046).

Almost surely, 2^1672506160 is an apocalyptic number.

1672506160 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 1672506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247043680).

1672506160 is an abundant number, since it is smaller than the sum of its proper divisors (2821581200).

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

1672506160 is a wasteful number, since it uses less digits than its factorization.

1672506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1672506160 is about 40896.2854058899. The cubic root of 1672506160 is about 1187.0141844340.

The spelling of 1672506160 in words is "one billion, six hundred seventy-two million, five hundred six thousand, one hundred sixty".