601065120 has 48 divisors (see below), whose sum is σ = 1893356640. Its totient is φ = 160283904.

The previous prime is 601065119. The next prime is 601065121. The reversal of 601065120 is 21560106.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (601065119) and next prime (601065121).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×601065120² = 722558556961228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601065121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 625630 + ... + 626589.

It is an arithmetic number, because the mean of its divisors is an integer number (39444930).

Almost surely, 2^601065120 is an apocalyptic number.

601065120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601065120 is an abundant number, since it is smaller than the sum of its proper divisors (1292291520).

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

601065120 is a wasteful number, since it uses less digits than its factorization.

601065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252237 (or 1252229 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 601065120 is about 24516.6294583901. The cubic root of 601065120 is about 843.9314574886.

The spelling of 601065120 in words is "six hundred one million, sixty-five thousand, one hundred twenty".