576142336 has 88 divisors (see below), whose sum is σ = 1436109696. Its totient is φ = 224440320.

The previous prime is 576142331. The next prime is 576142361. The reversal of 576142336 is 633241675.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 576142295 and 576142304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576142331) 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 7 ways as a sum of consecutive naturals, for example, 75195 + ... + 82501.

Almost surely, 2^576142336 is an apocalyptic number.

576142336 is a gapful number since it is divisible by the number (56) 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 576142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718054848).

576142336 is an abundant number, since it is smaller than the sum of its proper divisors (859967360).

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

576142336 is a wasteful number, since it uses less digits than its factorization.

576142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7327 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 576142336 is about 24002.9651501643. The cubic root of 576142336 is about 832.1020584863.

The spelling of 576142336 in words is "five hundred seventy-six million, one hundred forty-two thousand, three hundred thirty-six".