574560672 has 96 divisors (see below), whose sum is σ = 1758960000. Its totient is φ = 164150784.

The previous prime is 574560667. The next prime is 574560689. The reversal of 574560672 is 276065475.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24204 + ... + 41652.

It is an arithmetic number, because the mean of its divisors is an integer number (18322500).

Almost surely, 2^574560672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879480000).

574560672 is an abundant number, since it is smaller than the sum of its proper divisors (1184399328).

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

574560672 is a wasteful number, since it uses less digits than its factorization.

574560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17483 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 574560672 is about 23969.9952440546. The cubic root of 574560672 is about 831.3399134504.

The spelling of 574560672 in words is "five hundred seventy-four million, five hundred sixty thousand, six hundred seventy-two".