61864 has 32 divisors (see below), whose sum is σ = 136800. Its totient is φ = 25920.

The previous prime is 61861. The next prime is 61871. The reversal of 61864 is 46816.

61864 = T₃₇ + T₃₈ + ... + T₇₄.

61864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61861) 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, 1654 + ... + 1690.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2⁶¹⁸⁶⁴ 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 61864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400).

61864 is an abundant number, since it is smaller than the sum of its proper divisors (74936).

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

61864 is a wasteful number, since it uses less digits than its factorization.

61864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 61864 is about 248.7247474619. The cubic root of 61864 is about 39.5499554884.

The spelling of 61864 in words is "sixty-one thousand, eight hundred sixty-four".