1001820192 has 48 divisors (see below), whose sum is σ = 2690946720. Its totient is φ = 326172672.

The previous prime is 1001820191. The next prime is 1001820203. The reversal of 1001820192 is 2910281001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1001820191) 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 7 ways as a sum of consecutive naturals, for example, 117217 + ... + 125472.

It is an arithmetic number, because the mean of its divisors is an integer number (56061390).

Almost surely, 2^1001820192 is an apocalyptic number.

1001820192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001820192 is an abundant number, since it is smaller than the sum of its proper divisors (1689126528).

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

1001820192 is a wasteful number, since it uses less digits than its factorization.

1001820192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242745 (or 242737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1001820192 is about 31651.5432799097. The cubic root of 1001820192 is about 1000.6063629164.

The spelling of 1001820192 in words is "one billion, one million, eight hundred twenty thousand, one hundred ninety-two".