1820364040 has 64 divisors (see below), whose sum is σ = 4480738560. Its totient is φ = 660088320.

The previous prime is 1820363969. The next prime is 1820364053. The reversal of 1820364040 is 404630281.

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, 155844 + ... + 167116.

It is an arithmetic number, because the mean of its divisors is an integer number (70011540).

Almost surely, 2^1820364040 is an apocalyptic number.

1820364040 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 1820364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240369280).

1820364040 is an abundant number, since it is smaller than the sum of its proper divisors (2660374520).

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

1820364040 is a wasteful number, since it uses less digits than its factorization.

1820364040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1820364040 is about 42665.7244166790. The cubic root of 1820364040 is about 1221.0105485410.

The spelling of 1820364040 in words is "one billion, eight hundred twenty million, three hundred sixty-four thousand, forty".