1006876720 has 40 divisors (see below), whose sum is σ = 2343042000. Its totient is φ = 402397440.

The previous prime is 1006876667. The next prime is 1006876733. The reversal of 1006876720 is 276786001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1006876720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98406 + ... + 108154.

It is an arithmetic number, because the mean of its divisors is an integer number (58576050).

Almost surely, 2^1006876720 is an apocalyptic number.

1006876720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006876720 is an abundant number, since it is smaller than the sum of its proper divisors (1336165280).

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

1006876720 is a wasteful number, since it uses less digits than its factorization.

1006876720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 1006876720 is about 31731.3208045300. The cubic root of 1006876720 is about 1002.2870056180.

The spelling of 1006876720 in words is "one billion, six million, eight hundred seventy-six thousand, seven hundred twenty".