8035404960 has 192 divisors, whose sum is σ = 29237169024. Its totient is φ = 1833369600.

The previous prime is 8035404947. The next prime is 8035404983. The reversal of 8035404960 is 694045308.

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 31 ways as a sum of consecutive naturals, for example, 45000 + ... + 134520.

It is an arithmetic number, because the mean of its divisors is an integer number (152276922).

Almost surely, 2^8035404960 is an apocalyptic number.

8035404960 is a gapful number since it is divisible by the number (80) 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 8035404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618584512).

8035404960 is an abundant number, since it is smaller than the sum of its proper divisors (21201764064).

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

8035404960 is a wasteful number, since it uses less digits than its factorization.

8035404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89567 (or 89559 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 8035404960 is about 89640.4203470733. The cubic root of 8035404960 is about 2002.9460715338.

The spelling of 8035404960 in words is "eight billion, thirty-five million, four hundred four thousand, nine hundred sixty".