1645600160 has 96 divisors (see below), whose sum is σ = 4023930960. Its totient is φ = 635461632.

The previous prime is 1645600147. The next prime is 1645600193. The reversal of 1645600160 is 610065461.

It can be written as a sum of positive squares in 8 ways, for example, as 1555198096 + 90402064 = 39436^2 + 9508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810026 + ... + 812054.

Almost surely, 2^1645600160 is an apocalyptic number.

1645600160 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 1645600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011965480).

1645600160 is an abundant number, since it is smaller than the sum of its proper divisors (2378330800).

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

1645600160 is a wasteful number, since it uses less digits than its factorization.

1645600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1645600160 is about 40565.9975841837. The cubic root of 1645600160 is about 1180.6144841273.

The spelling of 1645600160 in words is "one billion, six hundred forty-five million, six hundred thousand, one hundred sixty".