1001825760 has 192 divisors, whose sum is σ = 3508807680. Its totient is φ = 238602240.

The previous prime is 1001825731. The next prime is 1001825761. The reversal of 1001825760 is 675281001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001825761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190851 + ... + 196029.

It is an arithmetic number, because the mean of its divisors is an integer number (18275040).

Almost surely, 2^1001825760 is an apocalyptic number.

1001825760 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 1001825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754403840).

1001825760 is an abundant number, since it is smaller than the sum of its proper divisors (2506981920).

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

1001825760 is a wasteful number, since it uses less digits than its factorization.

1001825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1001825760 is about 31651.6312375839. The cubic root of 1001825760 is about 1000.6082166642.

It can be divided in two parts, 10018 and 25760, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 1001825760 in words is "one billion, one million, eight hundred twenty-five thousand, seven hundred sixty".