601009920 has 432 divisors, whose sum is σ = 2468007360. Its totient is φ = 132120576.

The previous prime is 601009901. The next prime is 601009951. The reversal of 601009920 is 29900106.

It is a happy number.

601009920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601009920² = 722425847876812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338432 + ... + 2338688.

It is an arithmetic number, because the mean of its divisors is an integer number (5712980).

Almost surely, 2^601009920 is an apocalyptic number.

601009920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234003680).

601009920 is an abundant number, since it is smaller than the sum of its proper divisors (1866997440).

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

601009920 is a wasteful number, since it uses less digits than its factorization.

601009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 601009920 is about 24515.5036660477. The cubic root of 601009920 is about 843.9056219948.

The spelling of 601009920 in words is "six hundred one million, nine thousand, nine hundred twenty".