61848 has 24 divisors (see below), whose sum is σ = 167700. Its totient is φ = 20592.

The previous prime is 61843. The next prime is 61861. The reversal of 61848 is 84816.

61848 is a `hidden beast` number, since 618 + 48 = 666.

61848 is nontrivially palindromic in base 5.

61848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

61848 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

61848 is an undulating number in base 5.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61843) by changing a digit.

61848 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 5 ways as a sum of consecutive naturals, for example, 358 + ... + 501.

2⁶¹⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

61848 is an abundant number, since it is smaller than the sum of its proper divisors (105852).

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

61848 is a wasteful number, since it uses less digits than its factorization.

61848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 61848 is about 248.6925813128. The cubic root of 61848 is about 39.5465455686.

It can be divided in two parts, 618 and 48, that added together give a palindrome (666).

The spelling of 61848 in words is "sixty-one thousand, eight hundred forty-eight".