1820195520 has 224 divisors, whose sum is σ = 6789968640. Its totient is φ = 407285760.

The previous prime is 1820195513. The next prime is 1820195557. The reversal of 1820195520 is 255910281.

It is a super-3 number, since 3×1820195520³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 130651 + ... + 143909.

It is an arithmetic number, because the mean of its divisors is an integer number (30312360).

Almost surely, 2^1820195520 is an apocalyptic number.

1820195520 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 1820195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394984320).

1820195520 is an abundant number, since it is smaller than the sum of its proper divisors (4969773120).

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

1820195520 is a wasteful number, since it uses less digits than its factorization.

1820195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13303 (or 13293 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 1820195520 is about 42663.7494836073. The cubic root of 1820195520 is about 1220.9728690727.

The spelling of 1820195520 in words is "one billion, eight hundred twenty million, one hundred ninety-five thousand, five hundred twenty".