62634 has 32 divisors (see below), whose sum is σ = 149184. Its totient is φ = 17280.

The previous prime is 62633. The next prime is 62639. The reversal of 62634 is 43626.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 62634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

2⁶²⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592).

62634 is an abundant number, since it is smaller than the sum of its proper divisors (86550).

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

62634 is a wasteful number, since it uses less digits than its factorization.

62634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its digits is 864, while the sum is 21.

The square root of 62634 is about 250.2678565058. The cubic root of 62634 is about 39.7133676197.

It can be divided in two parts, 6263 and 4, that multiplied together give a palindrome (25052).

The spelling of 62634 in words is "sixty-two thousand, six hundred thirty-four".