1672908160 has 256 divisors, whose sum is σ = 5058547200. Its totient is φ = 513884160.

The previous prime is 1672908157. The next prime is 1672908173. The reversal of 1672908160 is 618092761.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent 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, 4090036 + ... + 4090444.

It is an arithmetic number, because the mean of its divisors is an integer number (19759950).

Almost surely, 2^1672908160 is an apocalyptic number.

1672908160 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 1672908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529273600).

1672908160 is an abundant number, since it is smaller than the sum of its proper divisors (3385639040).

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

1672908160 is a wasteful number, since it uses less digits than its factorization.

1672908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1672908160 is about 40901.1999823966. The cubic root of 1672908160 is about 1187.1092795449.

The spelling of 1672908160 in words is "one billion, six hundred seventy-two million, nine hundred eight thousand, one hundred sixty".