613662 has 32 divisors (see below), whose sum is σ = 1478400. Its totient is φ = 165888.

The previous prime is 613661. The next prime is 613667. The reversal of 613662 is 266316.

It is a nude number because it is divisible by every one of its digits.

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 613662.

It is not an unprimeable number, because it can be changed into a prime (613661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 414 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁶¹³⁶⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739200).

613662 is an abundant number, since it is smaller than the sum of its proper divisors (864738).

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

613662 is a wasteful number, since it uses less digits than its factorization.

613662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

The product of its digits is 1296, while the sum is 24.

The square root of 613662 is about 783.3658149294. The cubic root of 613662 is about 84.9786336146.

Adding to 613662 its reverse (266316), we get a palindrome (879978).

It can be divided in two parts, 613 and 662, that added together give a triangular number (1275 = T₅₀).

The spelling of 613662 in words is "six hundred thirteen thousand, six hundred sixty-two".