4791601160 has 16 divisors (see below), whose sum is σ = 10781102700. Its totient is φ = 1916640448.

The previous prime is 4791601159. The next prime is 4791601163. The reversal of 4791601160 is 611061974.

It can be written as a sum of positive squares in 2 ways, for example, as 4479089476 + 312511684 = 66926^2 + 17678^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4791601160.

It is not an unprimeable number, because it can be changed into a prime (4791601163) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 59894975 + ... + 59895054.

Almost surely, 2^4791601160 is an apocalyptic number.

4791601160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4791601160 is an abundant number, since it is smaller than the sum of its proper divisors (5989501540).

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

4791601160 is a wasteful number, since it uses less digits than its factorization.

4791601160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119790040 (or 119790036 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 4791601160 is about 69221.3923581432. The cubic root of 4791601160 is about 1685.8808873109.

The spelling of 4791601160 in words is "four billion, seven hundred ninety-one million, six hundred one thousand, one hundred sixty".