68264 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 27456.

The previous prime is 68261. The next prime is 68279. The reversal of 68264 is 46286.

It is a super-3 number, since 3×68264³ = 954325333151232, which contains 333 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 6⁴ + 8 + 2⁷ + 6⁴ + 4⁸ .

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (68261) 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, 1262 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁶⁸²⁶⁴ 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 68264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

68264 is an abundant number, since it is smaller than the sum of its proper divisors (87256).

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

68264 is a wasteful number, since it uses less digits than its factorization.

With its successor (68265) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (89).

68264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 68264 is about 261.2738027434. The cubic root of 68264 is about 40.8693042281.

The spelling of 68264 in words is "sixty-eight thousand, two hundred sixty-four".