61860 has 24 divisors (see below), whose sum is σ = 173376. Its totient is φ = 16480.

The previous prime is 61843. The next prime is 61861. The reversal of 61860 is 6816.

61860 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61861) by changing a digit.

61860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (7224).

2⁶¹⁸⁶⁰ is an apocalyptic number.

61860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61860 is an abundant number, since it is smaller than the sum of its proper divisors (111516).

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 (86688).

61860 is a wasteful number, since it uses less digits than its factorization.

61860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61860 is about 248.7167063146. The cubic root of 61860 is about 39.5491030636.

The spelling of 61860 in words is "sixty-one thousand, eight hundred sixty".