601413120 has 640 divisors, whose sum is σ = 2686970880. Its totient is φ = 123863040.

The previous prime is 601413083. The next prime is 601413161. The reversal of 601413120 is 21314106.

It is a happy number.

601413120 is a `hidden beast` number, since 601 + 41 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 601413093 and 601413102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322184 + ... + 5322296.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2^601413120 is an apocalyptic number.

601413120 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 601413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343485440).

601413120 is an abundant number, since it is smaller than the sum of its proper divisors (2085557760).

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

601413120 is a wasteful number, since it uses less digits than its factorization.

601413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 601413120 is about 24523.7256549652. The cubic root of 601413120 is about 844.0942970194.

Adding to 601413120 its reverse (21314106), we get a palindrome (622727226).

The spelling of 601413120 in words is "six hundred one million, four hundred thirteen thousand, one hundred twenty".