1820375564 has 48 divisors (see below), whose sum is σ = 3739632960. Its totient is φ = 759075840.

The previous prime is 1820375561. The next prime is 1820375567. The reversal of 1820375564 is 4655730281.

It is an interprime number because it is at equal distance from previous prime (1820375561) and next prime (1820375567).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (1820375561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467594 + ... + 471470.

It is an arithmetic number, because the mean of its divisors is an integer number (77909020).

Almost surely, 2^1820375564 is an apocalyptic number.

1820375564 is a gapful number since it is divisible by the number (14) 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 1820375564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869816480).

1820375564 is an abundant number, since it is smaller than the sum of its proper divisors (1919257396).

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

1820375564 is a wasteful number, since it uses less digits than its factorization.

1820375564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 1820375564 is about 42665.8594663227. The cubic root of 1820375564 is about 1221.0131251128.

The spelling of 1820375564 in words is "one billion, eight hundred twenty million, three hundred seventy-five thousand, five hundred sixty-four".