1825710768 has 120 divisors (see below), whose sum is σ = 5848632608. Its totient is φ = 520805376.

The previous prime is 1825710763. The next prime is 1825710793. The reversal of 1825710768 is 8670175281.

It is a happy number.

1825710768 is a `hidden beast` number, since 1 + 8 + 2 + 571 + 0 + 76 + 8 = 666.

It is a super-4 number, since 4×1825710768⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1825710763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 943530 + ... + 945462.

Almost surely, 2^1825710768 is an apocalyptic number.

1825710768 is a gapful number since it is divisible by the number (18) 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 1825710768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924316304).

1825710768 is an abundant number, since it is smaller than the sum of its proper divisors (4022921840).

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

1825710768 is a wasteful number, since it uses less digits than its factorization.

1825710768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1825710768 is about 42728.3368269817. The cubic root of 1825710768 is about 1222.2048206497.

The spelling of 1825710768 in words is "one billion, eight hundred twenty-five million, seven hundred ten thousand, seven hundred sixty-eight".