601228160 has 128 divisors (see below), whose sum is σ = 1562803200. Its totient is φ = 219856896.

The previous prime is 601228151. The next prime is 601228217. The reversal of 601228160 is 61822106.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×601228160² = 722950600753971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1056356 + ... + 1056924.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^601228160 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 601228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600).

601228160 is an abundant number, since it is smaller than the sum of its proper divisors (961575040).

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

601228160 is a wasteful number, since it uses less digits than its factorization.

601228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 601228160 is about 24519.9543229591. The cubic root of 601228160 is about 844.0077565679.

The spelling of 601228160 in words is "six hundred one million, two hundred twenty-eight thousand, one hundred sixty".