601221564 has 144 divisors (see below), whose sum is σ = 1668925440. Its totient is φ = 181906560.

The previous prime is 601221563. The next prime is 601221641. The reversal of 601221564 is 465122106.

601221564 is a `hidden beast` number, since 601 + 2 + 2 + 1 + 56 + 4 = 666.

It is a super-2 number, since 2×601221564² = 722934738037212192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601221563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1514214 + ... + 1514610.

It is an arithmetic number, because the mean of its divisors is an integer number (11589760).

Almost surely, 2^601221564 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 601221564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834462720).

601221564 is an abundant number, since it is smaller than the sum of its proper divisors (1067703876).

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

601221564 is a wasteful number, since it uses less digits than its factorization.

601221564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 601221564 is about 24519.8198198926. The cubic root of 601221564 is about 844.0046700549.

The spelling of 601221564 in words is "six hundred one million, two hundred twenty-one thousand, five hundred sixty-four".