62496 has 72 divisors (see below), whose sum is σ = 209664. Its totient is φ = 17280.

The previous prime is 62483. The next prime is 62497. The reversal of 62496 is 69426.

62496 = 29² + 30² + ... + 59².

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

Its product of digits (2592) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62497) by changing a digit.

62496 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, 2001 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2⁶²⁴⁹⁶ 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 62496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

62496 is an abundant number, since it is smaller than the sum of its proper divisors (147168).

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

62496 is a wasteful number, since it uses less digits than its factorization.

62496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

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

The square root of 62496 is about 249.9919998720. The cubic root of 62496 is about 39.6841796672.

The spelling of 62496 in words is "sixty-two thousand, four hundred ninety-six".