61380 has 72 divisors (see below), whose sum is σ = 209664. Its totient is φ = 14400.

The previous prime is 61379. The next prime is 61381. The reversal of 61380 is 8316.

Added to its reverse (8316) it gives a square (69696 = 264²).

61380 = T₁₇ + T₁₈ + ... + T₇₁.

It is an interprime number because it is at equal distance from previous prime (61379) and next prime (61381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965 + ... + 1995.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2⁶¹³⁸⁰ is an apocalyptic number.

61380 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 61380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

61380 is an abundant number, since it is smaller than the sum of its proper divisors (148284).

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

61380 is a wasteful number, since it uses less digits than its factorization.

61380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61380 is about 247.7498738648. The cubic root of 61380 is about 39.4465441512.

Adding to 61380 its reverse (8316), we get a palindrome (69696).

It can be divided in two parts, 61 and 380, that added together give a square (441 = 21²).

The spelling of 61380 in words is "sixty-one thousand, three hundred eighty".