1825660032 has 256 divisors, whose sum is σ = 5757696000. Its totient is φ = 512246784.

The previous prime is 1825660021. The next prime is 1825660051. The reversal of 1825660032 is 2300665281.

It is a junction number, because it is equal to n+sod(n) for n = 1825659975 and 1825660002.

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 31 ways as a sum of consecutive naturals, for example, 10932013 + ... + 10932179.

It is an arithmetic number, because the mean of its divisors is an integer number (22491000).

Almost surely, 2^1825660032 is an apocalyptic number.

1825660032 is a gapful number since it is divisible by the number (12) 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 1825660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848000).

1825660032 is an abundant number, since it is smaller than the sum of its proper divisors (3932035968).

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

1825660032 is an equidigital number, since it uses as much as digits as its factorization.

1825660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1825660032 is about 42727.7431184939. The cubic root of 1825660032 is about 1222.1934989662.

The spelling of 1825660032 in words is "one billion, eight hundred twenty-five million, six hundred sixty thousand, thirty-two".