1820290560 has 320 divisors, whose sum is σ = 6576007680. Its totient is φ = 425492480.

The previous prime is 1820290553. The next prime is 1820290621. The reversal of 1820290560 is 650920281.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1820290560² = 6626915445650227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449549 + ... + 2450291.

It is an arithmetic number, because the mean of its divisors is an integer number (20550024).

Almost surely, 2^1820290560 is an apocalyptic number.

1820290560 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 1820290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288003840).

1820290560 is an abundant number, since it is smaller than the sum of its proper divisors (4755717120).

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

1820290560 is a wasteful number, since it uses less digits than its factorization.

1820290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1820290560 is about 42664.8632952222. The cubic root of 1820290560 is about 1220.9941193982.

The spelling of 1820290560 in words is "one billion, eight hundred twenty million, two hundred ninety thousand, five hundred sixty".