613440 has 112 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 161280.

The previous prime is 613439. The next prime is 613441. The reversal of 613440 is 44316.

613440 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (613439) and next prime (613441).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (613441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605 + ... + 8675.

2⁶¹³⁴⁴⁰ is an apocalyptic number.

613440 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 613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

613440 is an abundant number, since it is smaller than the sum of its proper divisors (1581120).

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

613440 is a wasteful number, since it uses less digits than its factorization.

613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 613440 is about 783.2241058599. The cubic root of 613440 is about 84.9683850130.

Adding to 613440 its reverse (44316), we get a palindrome (657756).

The spelling of 613440 in words is "six hundred thirteen thousand, four hundred forty".