56601006 has 64 divisors (see below), whose sum is σ = 142649856. Its totient is φ = 14544000.

The previous prime is 56600993. The next prime is 56601023. The reversal of 56601006 is 60010665.

It is a Curzon number.

It is a congruent number.

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, 46056 + ... + 47268.

It is an arithmetic number, because the mean of its divisors is an integer number (2228904).

Almost surely, 2^56601006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56601006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71324928).

56601006 is an abundant number, since it is smaller than the sum of its proper divisors (86048850).

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

56601006 is a wasteful number, since it uses less digits than its factorization.

56601006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56601006 is about 7523.3640082080. The cubic root of 56601006 is about 383.9500396156.

It can be divided in two parts, 5660 and 1006, that added together give a palindrome (6666).

The spelling of 56601006 in words is "fifty-six million, six hundred one thousand, six".