1820098560 has 384 divisors, whose sum is σ = 6958244160. Its totient is φ = 397934592.

The previous prime is 1820098531. The next prime is 1820098607. The reversal of 1820098560 is 658900281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1820098560² = 6625517536228147200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79134709 + ... + 79134731.

Almost surely, 2^1820098560 is an apocalyptic number.

1820098560 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 1820098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479122080).

1820098560 is an abundant number, since it is smaller than the sum of its proper divisors (5138145600).

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

1820098560 is an frugal number, since it uses more digits than its factorization.

1820098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1820098560 is about 42662.6131407817. The cubic root of 1820098560 is about 1220.9511886854.

The spelling of 1820098560 in words is "one billion, eight hundred twenty million, ninety-eight thousand, five hundred sixty".