61360 has 40 divisors (see below), whose sum is σ = 156240. Its totient is φ = 22272.

The previous prime is 61357. The next prime is 61363. The reversal of 61360 is 6316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61357) and next prime (61363).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (61363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011 + ... + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁶¹³⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

61360 is an abundant number, since it is smaller than the sum of its proper divisors (94880).

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

61360 is a wasteful number, since it uses less digits than its factorization.

61360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 61360 is about 247.7095072863. The cubic root of 61360 is about 39.4422592778.

Adding to 61360 its reverse (6316), we get a palindrome (67676).

The spelling of 61360 in words is "sixty-one thousand, three hundred sixty".