1820424960 has 216 divisors, whose sum is σ = 6630776880. Its totient is φ = 459841536.

The previous prime is 1820424943. The next prime is 1820424971. The reversal of 1820424960 is 694240281.

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

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, 214722 + ... + 223038.

Almost surely, 2^1820424960 is an apocalyptic number.

1820424960 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 1820424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315388440).

1820424960 is an abundant number, since it is smaller than the sum of its proper divisors (4810351920).

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

1820424960 is a wasteful number, since it uses less digits than its factorization.

1820424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1820424960 is about 42666.4383327224. The cubic root of 1820424960 is about 1221.0241691010.

The spelling of 1820424960 in words is "one billion, eight hundred twenty million, four hundred twenty-four thousand, nine hundred sixty".