1825871040 has 504 divisors, whose sum is σ = 7512234912. Its totient is φ = 398499840.

The previous prime is 1825871039. The next prime is 1825871051. The reversal of 1825871040 is 401785281.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 1825870986 and 1825871004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38848297 + ... + 38848343.

It is an arithmetic number, because the mean of its divisors is an integer number (14905228).

Almost surely, 2^1825871040 is an apocalyptic number.

1825871040 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 1825871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756117456).

1825871040 is an abundant number, since it is smaller than the sum of its proper divisors (5686363872).

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

1825871040 is a wasteful number, since it uses less digits than its factorization.

1825871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1825871040 is about 42730.2122625198. The cubic root of 1825871040 is about 1222.2405837952.

It can be divided in two parts, 18258 and 71040, that added together give a palindrome (89298).

The spelling of 1825871040 in words is "one billion, eight hundred twenty-five million, eight hundred seventy-one thousand, forty".