613620 has 72 divisors (see below), whose sum is σ = 2131584. Its totient is φ = 139968.

The previous prime is 613609. The next prime is 613633. The reversal of 613620 is 26316.

It is a happy number.

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 = 613593 and 613602.

It is a congruent number.

It is an unprimeable number.

613620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017 + ... + 1503.

2⁶¹³⁶²⁰ is an apocalyptic number.

613620 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 613620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065792).

613620 is an abundant number, since it is smaller than the sum of its proper divisors (1517964).

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

613620 is a wasteful number, since it uses less digits than its factorization.

613620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 613620 is about 783.3390070717. The cubic root of 613620 is about 84.9766948796.

Adding to 613620 its reverse (26316), we get a palindrome (639936).

The spelling of 613620 in words is "six hundred thirteen thousand, six hundred twenty".