613980 has 60 divisors (see below), whose sum is σ = 1931160. Its totient is φ = 163296.

The previous prime is 613969. The next prime is 613981. The reversal of 613980 is 89316.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613981) by changing a digit.

613980 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 19 ways as a sum of consecutive naturals, for example, 1431 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (32186).

2⁶¹³⁹⁸⁰ is an apocalyptic number.

613980 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 613980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965580).

613980 is an abundant number, since it is smaller than the sum of its proper divisors (1317180).

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

613980 is a wasteful number, since it uses less digits than its factorization.

613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 613980 is about 783.5687589484. The cubic root of 613980 is about 84.9933097387.

The spelling of 613980 in words is "six hundred thirteen thousand, nine hundred eighty".