601440 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 136704.

The previous prime is 601439. The next prime is 601451. The reversal of 601440 is 44106.

601440 = 65² + 66² + ... + 127².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 601440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3271 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁶⁰¹⁴⁴⁰ is an apocalyptic number.

601440 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 601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

601440 is an abundant number, since it is smaller than the sum of its proper divisors (1575840).

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

601440 is a wasteful number, since it uses less digits than its factorization.

601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 601440 is about 775.5256282032. The cubic root of 601440 is about 84.4106872356.

Adding to 601440 its reverse (44106), we get a palindrome (645546).

The spelling of 601440 in words is "six hundred one thousand, four hundred forty".