1825280160 has 192 divisors, whose sum is σ = 6326377344. Its totient is φ = 442337280.

The previous prime is 1825280159. The next prime is 1825280167. The reversal of 1825280160 is 610825281.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1825280167) 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 31 ways as a sum of consecutive naturals, for example, 637452 + ... + 640308.

It is an arithmetic number, because the mean of its divisors is an integer number (32949882).

Almost surely, 2^1825280160 is an apocalyptic number.

1825280160 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 1825280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163188672).

1825280160 is an abundant number, since it is smaller than the sum of its proper divisors (4501097184).

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

1825280160 is a wasteful number, since it uses less digits than its factorization.

1825280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1825280160 is about 42723.2976255345. The cubic root of 1825280160 is about 1222.1087242755.

The spelling of 1825280160 in words is "one billion, eight hundred twenty-five million, two hundred eighty thousand, one hundred sixty".