601027920 has 60 divisors (see below), whose sum is σ = 2018454516. Its totient is φ = 160273920.

The previous prime is 601027909. The next prime is 601027957. The reversal of 601027920 is 29720106.

601027920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 485937936 = 10728^2 + 22044^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×601027920² = 722469121239052800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416661 + ... + 418100.

Almost surely, 2^601027920 is an apocalyptic number.

601027920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601027920 is an abundant number, since it is smaller than the sum of its proper divisors (1417426596).

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

601027920 is a wasteful number, since it uses less digits than its factorization.

601027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834780 (or 834771 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 601027920 is about 24515.8707779267. The cubic root of 601027920 is about 843.9140467861.

It can be divided in two parts, 6010 and 27920, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 601027920 in words is "six hundred one million, twenty-seven thousand, nine hundred twenty".