1820352960 has 224 divisors, whose sum is σ = 6532473600. Its totient is φ = 477066240.

The previous prime is 1820352959. The next prime is 1820352971. The reversal of 1820352960 is 692530281.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 507975 + ... + 511545.

Almost surely, 2^1820352960 is an apocalyptic number.

1820352960 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 1820352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266236800).

1820352960 is an abundant number, since it is smaller than the sum of its proper divisors (4712120640).

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

1820352960 is a wasteful number, since it uses less digits than its factorization.

1820352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1820352960 is about 42665.5945698639. The cubic root of 1820352960 is about 1221.0080712299.

The spelling of 1820352960 in words is "one billion, eight hundred twenty million, three hundred fifty-two thousand, nine hundred sixty".