62464 has 22 divisors (see below), whose sum is σ = 126914. Its totient is φ = 30720.

The previous prime is 62459. The next prime is 62467. The reversal of 62464 is 46426.

62464 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 25600 = 192^2 + 160^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 994 + ... + 1054.

2⁶²⁴⁶⁴ is an apocalyptic number.

62464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63457).

62464 is an abundant number, since it is smaller than the sum of its proper divisors (64450).

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

62464 is an equidigital number, since it uses as much as digits as its factorization.

62464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 62464 is about 249.9279896290. The cubic root of 62464 is about 39.6774053107.

The spelling of 62464 in words is "sixty-two thousand, four hundred sixty-four".