1685162880 has 160 divisors (see below), whose sum is σ = 6018206040. Its totient is φ = 449362944.

The previous prime is 1685162813. The next prime is 1685162923. The reversal of 1685162880 is 882615861.

1685162880 is a `hidden beast` number, since 16 + 8 + 5 + 1 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35587 + ... + 68093.

Almost surely, 2^1685162880 is an apocalyptic number.

1685162880 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 1685162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009103020).

1685162880 is an abundant number, since it is smaller than the sum of its proper divisors (4333043160).

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

1685162880 is an equidigital number, since it uses as much as digits as its factorization.

1685162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32538 (or 32517 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1685162880 is about 41050.7354379919. The cubic root of 1685162880 is about 1190.0009133058. Note that the first 3 decimals are identical.

It can be divided in two parts, 168516 and 2880, that added together give a square (171396 = 414²).

The spelling of 1685162880 in words is "one billion, six hundred eighty-five million, one hundred sixty-two thousand, eight hundred eighty".