1820636160 has 528 divisors, whose sum is σ = 7056745920. Its totient is φ = 399114240.

The previous prime is 1820636149. The next prime is 1820636189. The reversal of 1820636160 is 616360281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30858211 + ... + 30858269.

Almost surely, 2^1820636160 is an apocalyptic number.

1820636160 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 1820636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528372960).

1820636160 is an abundant number, since it is smaller than the sum of its proper divisors (5236109760).

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

1820636160 is a wasteful number, since it uses less digits than its factorization.

1820636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1820636160 is about 42668.9132741859. The cubic root of 1820636160 is about 1221.0713870745.

The spelling of 1820636160 in words is "one billion, eight hundred twenty million, six hundred thirty-six thousand, one hundred sixty".