1825896960 has 480 divisors, whose sum is σ = 6881434560. Its totient is φ = 445906944.

The previous prime is 1825896953. The next prime is 1825896971. The reversal of 1825896960 is 696985281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 1825896897 and 1825896906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18823632 + ... + 18823728.

It is an arithmetic number, because the mean of its divisors is an integer number (14336322).

Almost surely, 2^1825896960 is an apocalyptic number.

1825896960 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 1825896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440717280).

1825896960 is an abundant number, since it is smaller than the sum of its proper divisors (5055537600).

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

1825896960 is a wasteful number, since it uses less digits than its factorization.

1825896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1825896960 is about 42730.5155597262. The cubic root of 1825896960 is about 1222.2463673957.

The spelling of 1825896960 in words is "one billion, eight hundred twenty-five million, eight hundred ninety-six thousand, nine hundred sixty".