60864 has 28 divisors (see below), whose sum is σ = 161544. Its totient is φ = 20224.

The previous prime is 60859. The next prime is 60869. The reversal of 60864 is 46806.

60864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60859) and next prime (60869).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (60869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 350.

2⁶⁰⁸⁶⁴ is an apocalyptic number.

60864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80772).

60864 is an abundant number, since it is smaller than the sum of its proper divisors (100680).

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

60864 is a wasteful number, since it uses less digits than its factorization.

60864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 60864 is about 246.7063031217. The cubic root of 60864 is about 39.3356952203.

The spelling of 60864 in words is "sixty thousand, eight hundred sixty-four".