601032960 has 720 divisors, whose sum is σ = 2564255232. Its totient is φ = 132710400.

The previous prime is 601032959. The next prime is 601032983. The reversal of 601032960 is 69230106.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×601032960² = 722481238012723200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19388145 + ... + 19388175.

Almost surely, 2^601032960 is an apocalyptic number.

601032960 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 601032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282127616).

601032960 is an abundant number, since it is smaller than the sum of its proper divisors (1963222272).

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

601032960 is a wasteful number, since it uses less digits than its factorization.

601032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 601032960 is about 24515.9735682677. The cubic root of 601032960 is about 843.9164056976.

The spelling of 601032960 in words is "six hundred one million, thirty-two thousand, nine hundred sixty".