1686164160 has 112 divisors (see below), whose sum is σ = 5478206976. Its totient is φ = 439176192.

The previous prime is 1686164153. The next prime is 1686164167. The reversal of 1686164160 is 614616861.

It is an interprime number because it is at equal distance from previous prime (1686164153) and next prime (1686164167).

It is not an unprimeable number, because it can be changed into a prime (1686164167) 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, 20857 + ... + 61703.

Almost surely, 2^1686164160 is an apocalyptic number.

1686164160 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 1686164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739103488).

1686164160 is an abundant number, since it is smaller than the sum of its proper divisors (3792042816).

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

1686164160 is a wasteful number, since it uses less digits than its factorization.

1686164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40910 (or 40900 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1686164160 is about 41062.9292671626. The cubic root of 1686164160 is about 1190.2365558492.

The spelling of 1686164160 in words is "one billion, six hundred eighty-six million, one hundred sixty-four thousand, one hundred sixty".