61140 has 24 divisors (see below), whose sum is σ = 171360. Its totient is φ = 16288.

The previous prime is 61129. The next prime is 61141. The reversal of 61140 is 4116.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61141) 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, 450 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁶¹¹⁴⁰ is an apocalyptic number.

61140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61140 is an abundant number, since it is smaller than the sum of its proper divisors (110220).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

61140 is a wasteful number, since it uses less digits than its factorization.

61140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61140 is about 247.2650399875. The cubic root of 61140 is about 39.3950641003.

Subtracting from 61140 its product of nonzero digits (24), we obtain a palindrome (61116).

Adding to 61140 its reverse (4116), we get a palindrome (65256).

The spelling of 61140 in words is "sixty-one thousand, one hundred forty".