601013628 has 96 divisors (see below), whose sum is σ = 1603123200. Its totient is φ = 194626368.

The previous prime is 601013627. The next prime is 601013653. The reversal of 601013628 is 826310106.

601013628 is a `hidden beast` number, since 601 + 0 + 1 + 36 + 28 = 666.

It is a super-2 number, since 2×601013628² = 722434762083444768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601013627) 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, 847338 + ... + 848046.

It is an arithmetic number, because the mean of its divisors is an integer number (16699200).

Almost surely, 2^601013628 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 601013628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801561600).

601013628 is an abundant number, since it is smaller than the sum of its proper divisors (1002109572).

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

601013628 is a wasteful number, since it uses less digits than its factorization.

601013628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 601013628 is about 24515.5792915444. The cubic root of 601013628 is about 843.9073575155.

The spelling of 601013628 in words is "six hundred one million, thirteen thousand, six hundred twenty-eight".