62944 has 24 divisors (see below), whose sum is σ = 142128. Its totient is φ = 26880.

The previous prime is 62939. The next prime is 62969. The reversal of 62944 is 44926.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (5922).

2⁶²⁹⁴⁴ 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 62944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71064).

62944 is an abundant number, since it is smaller than the sum of its proper divisors (79184).

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

62944 is a wasteful number, since it uses less digits than its factorization.

62944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 62944 is about 250.8864284891. The cubic root of 62944 is about 39.7787787848.

Subtracting from 62944 its product of digits (1728), we obtain a palindrome (61216).

The spelling of 62944 in words is "sixty-two thousand, nine hundred forty-four".