1680605172 has 60 divisors (see below), whose sum is σ = 4399436580. Its totient is φ = 559436544.

The previous prime is 1680605141. The next prime is 1680605191. The reversal of 1680605172 is 2715060861.

1680605172 is a `hidden beast` number, since 1 + 6 + 80 + 60 + 517 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1419330276 + 261274896 = 37674^2 + 16164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 265468 + ... + 271724.

It is an arithmetic number, because the mean of its divisors is an integer number (73323943).

Almost surely, 2^1680605172 is an apocalyptic number.

1680605172 is a gapful number since it is divisible by the number (12) 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 1680605172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199718290).

1680605172 is an abundant number, since it is smaller than the sum of its proper divisors (2718831408).

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

1680605172 is a wasteful number, since it uses less digits than its factorization.

1680605172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1680605172 is about 40995.1847416254. The cubic root of 1680605172 is about 1188.9271152870.

The spelling of 1680605172 in words is "one billion, six hundred eighty million, six hundred five thousand, one hundred seventy-two".