64944 has 60 divisors (see below), whose sum is σ = 203112. Its totient is φ = 19200.

The previous prime is 64937. The next prime is 64951. The reversal of 64944 is 44946.

64944 = 18² + 19² + ... + 58².

It is an interprime number because it is at equal distance from previous prime (64937) and next prime (64951).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

64944 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, 1564 + ... + 1604.

2⁶⁴⁹⁴⁴ 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 64944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

64944 is an abundant number, since it is smaller than the sum of its proper divisors (138168).

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

64944 is a wasteful number, since it uses less digits than its factorization.

64944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64944 is about 254.8411269791. The cubic root of 64944 is about 40.1957075687.

It can be divided in two parts, 6 and 4944, that added together give a triangular number (4950 = T₉₉).

The spelling of 64944 in words is "sixty-four thousand, nine hundred forty-four".