601600272 has 160 divisors (see below), whose sum is σ = 1957874688. Its totient is φ = 154925568.

The previous prime is 601600271. The next prime is 601600289. The reversal of 601600272 is 272006106.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (601600271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186223 + ... + 189425.

Almost surely, 2^601600272 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 601600272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978937344).

601600272 is an abundant number, since it is smaller than the sum of its proper divisors (1356274416).

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

601600272 is a wasteful number, since it uses less digits than its factorization.

601600272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 601600272 is about 24527.5410915974. The cubic root of 601600272 is about 844.1818450220.

Adding to 601600272 its reverse (272006106), we get a palindrome (873606378).

The spelling of 601600272 in words is "six hundred one million, six hundred thousand, two hundred seventy-two".