1607680 has 48 divisors (see below), whose sum is σ = 3882060. Its totient is φ = 638976.

The previous prime is 1607663. The next prime is 1607681. The reversal of 1607680 is 867061.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 50176 = 1248^2 + 224^2 .

It is not an unprimeable number, because it can be changed into a prime (1607681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10162 + ... + 10318.

2^1607680 is an apocalyptic number.

1607680 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 1607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941030).

1607680 is an abundant number, since it is smaller than the sum of its proper divisors (2274380).

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

1607680 is an equidigital number, since it uses as much as digits as its factorization.

1607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1607680 is about 1267.9432163942. The cubic root of 1607680 is about 117.1475480402.

The spelling of 1607680 in words is "one million, six hundred seven thousand, six hundred eighty".