1809795960 has 384 divisors, whose sum is σ = 7092933120. Its totient is φ = 406467072.

The previous prime is 1809795941. The next prime is 1809795973. The reversal of 1809795960 is 695979081.

It is a super-2 number, since 2×1809795960² = 6550722833664643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1809795897 and 1809795906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4558482 + ... + 4558878.

It is an arithmetic number, because the mean of its divisors is an integer number (18471180).

Almost surely, 2^1809795960 is an apocalyptic number.

1809795960 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 1809795960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546466560).

1809795960 is an abundant number, since it is smaller than the sum of its proper divisors (5283137160).

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

1809795960 is a wasteful number, since it uses less digits than its factorization.

1809795960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 1809795960 is about 42541.6967221572. The cubic root of 1809795960 is about 1218.6431120460.

The spelling of 1809795960 in words is "one billion, eight hundred nine million, seven hundred ninety-five thousand, nine hundred sixty".