1008761120 has 48 divisors (see below), whose sum is σ = 2389351608. Its totient is φ = 402462720.

The previous prime is 1008761119. The next prime is 1008761161. The reversal of 1008761120 is 211678001.

It is a Cunningham number, because it is equal to 31761²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 996286096 + 12475024 = 31564^2 + 3532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1008761120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55580 + ... + 71460.

Almost surely, 2^1008761120 is an apocalyptic number.

1008761120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008761120 is an abundant number, since it is smaller than the sum of its proper divisors (1380590488).

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

1008761120 is a wasteful number, since it uses less digits than its factorization.

1008761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 1008761120 is about 31760.9999842574. Note that the first 4 decimals coincide. The cubic root of 1008761120 is about 1002.9118860231.

The spelling of 1008761120 in words is "one billion, eight million, seven hundred sixty-one thousand, one hundred twenty".