61320 has 64 divisors (see below), whose sum is σ = 213120. Its totient is φ = 13824.

The previous prime is 61297. The next prime is 61331. The reversal of 61320 is 2316.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 61296 and 61305.

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, 804 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (3330).

2⁶¹³²⁰ is an apocalyptic number.

61320 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 61320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560).

61320 is an abundant number, since it is smaller than the sum of its proper divisors (151800).

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

61320 is a wasteful number, since it uses less digits than its factorization.

61320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 61320 is about 247.6287543885. The cubic root of 61320 is about 39.4336867369.

Adding to 61320 its reverse (2316), we get a palindrome (63636).

It can be divided in two parts, 6 and 1320, that added together give a triangular number (1326 = T₅₁).

The spelling of 61320 in words is "sixty-one thousand, three hundred twenty".