1001876040 has 160 divisors (see below), whose sum is σ = 3673676160. Its totient is φ = 242870400.

The previous prime is 1001876039. The next prime is 1001876053. The reversal of 1001876040 is 406781001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1001875995 and 1001876013.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 21585 + ... + 49695.

It is an arithmetic number, because the mean of its divisors is an integer number (22960476).

Almost surely, 2^1001876040 is an apocalyptic number.

1001876040 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 1001876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836838080).

1001876040 is an abundant number, since it is smaller than the sum of its proper divisors (2671800120).

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

1001876040 is a wasteful number, since it uses less digits than its factorization.

1001876040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145 (or 28132 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1001876040 is about 31652.4254994779. The cubic root of 1001876040 is about 1000.6249560153.

The spelling of 1001876040 in words is "one billion, one million, eight hundred seventy-six thousand, forty".