59864 has 16 divisors (see below), whose sum is σ = 128400. Its totient is φ = 25632.

The previous prime is 59863. The next prime is 59879. The reversal of 59864 is 46895.

59864 = T₃₁ + T₃₂ + ... + T₇₂.

It is a self number, because there is not a number n which added to its sum of digits gives 59864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59863) 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, 479 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (8025).

2⁵⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

59864 is an abundant number, since it is smaller than the sum of its proper divisors (68536).

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 (64200).

59864 is a wasteful number, since it uses less digits than its factorization.

59864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1078 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 59864 is about 244.6712079506. The cubic root of 59864 is about 39.1190750350.

The spelling of 59864 in words is "fifty-nine thousand, eight hundred sixty-four".