1642053160 has 64 divisors (see below), whose sum is σ = 4040150400. Its totient is φ = 595680000.

The previous prime is 1642053143. The next prime is 1642053187. The reversal of 1642053160 is 613502461.

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, 188910 + ... + 197410.

It is an arithmetic number, because the mean of its divisors is an integer number (63127350).

Almost surely, 2^1642053160 is an apocalyptic number.

1642053160 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 1642053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020075200).

1642053160 is an abundant number, since it is smaller than the sum of its proper divisors (2398097240).

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

1642053160 is a wasteful number, since it uses less digits than its factorization.

1642053160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1642053160 is about 40522.2551198721. The cubic root of 1642053160 is about 1179.7656242348.

The spelling of 1642053160 in words is "one billion, six hundred forty-two million, fifty-three thousand, one hundred sixty".