1820413760 has 112 divisors (see below), whose sum is σ = 4775801472. Its totient is φ = 655411200.

The previous prime is 1820413747. The next prime is 1820413783. The reversal of 1820413760 is 673140281.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360050 + ... + 365070.

Almost surely, 2^1820413760 is an apocalyptic number.

1820413760 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 1820413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387900736).

1820413760 is an abundant number, since it is smaller than the sum of its proper divisors (2955387712).

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

1820413760 is a wasteful number, since it uses less digits than its factorization.

1820413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1820413760 is about 42666.3070818181. The cubic root of 1820413760 is about 1221.0216650156.

The spelling of 1820413760 in words is "one billion, eight hundred twenty million, four hundred thirteen thousand, seven hundred sixty".