575961120 has 144 divisors (see below), whose sum is σ = 2246287680. Its totient is φ = 131645952.

The previous prime is 575961107. The next prime is 575961149. The reversal of 575961120 is 21169575.

575961120 is a `hidden beast` number, since 57 + 596 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18490 + ... + 38649.

It is an arithmetic number, because the mean of its divisors is an integer number (15599220).

Almost surely, 2^575961120 is an apocalyptic number.

It is an amenable number.

575961120 is an abundant number, since it is smaller than the sum of its proper divisors (1670326560).

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

575961120 is a wasteful number, since it uses less digits than its factorization.

575961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57167 (or 57156 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 575961120 is about 23999.1899863308. The cubic root of 575961120 is about 832.0148080451.

It can be divided in two parts, 575961 and 120, that added together give a square (576081 = 759²).

The spelling of 575961120 in words is "five hundred seventy-five million, nine hundred sixty-one thousand, one hundred twenty".