64296 has 48 divisors (see below), whose sum is σ = 187200. Its totient is φ = 19872.

The previous prime is 64283. The next prime is 64301. The reversal of 64296 is 69246.

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

64296 is a modest number, since divided by 296 gives 64 as remainder.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64296.

It is an unprimeable number.

64296 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 11 ways as a sum of consecutive naturals, for example, 1345 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

2⁶⁴²⁹⁶ 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 64296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

64296 is an abundant number, since it is smaller than the sum of its proper divisors (122904).

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

64296 is a wasteful number, since it uses less digits than its factorization.

64296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 64296 is about 253.5665593094. The cubic root of 64296 is about 40.0615718407.

Subtracting 64296 from its reverse (69246), we obtain a triangular number (4950 = T₉₉).

The spelling of 64296 in words is "sixty-four thousand, two hundred ninety-six".