601013760 has 160 divisors (see below), whose sum is σ = 1938625920. Its totient is φ = 158834688.

The previous prime is 601013737. The next prime is 601013761. The reversal of 601013760 is 67310106.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×601013760² = 722435079418675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 601013760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601013761) 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 15 ways as a sum of consecutive naturals, for example, 1067239 + ... + 1067801.

It is an arithmetic number, because the mean of its divisors is an integer number (12116412).

Almost surely, 2^601013760 is an apocalyptic number.

601013760 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 601013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969312960).

601013760 is an abundant number, since it is smaller than the sum of its proper divisors (1337612160).

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

601013760 is a wasteful number, since it uses less digits than its factorization.

601013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 601013760 is about 24515.5819837099. The cubic root of 601013760 is about 843.9074192977.

Adding to 601013760 its reverse (67310106), we get a palindrome (668323866).

The spelling of 601013760 in words is "six hundred one million, thirteen thousand, seven hundred sixty".