61626 has 8 divisors (see below), whose sum is σ = 123264. Its totient is φ = 20540.

The previous prime is 61613. The next prime is 61627. The reversal of 61626 is 62616.

It is a sphenic number, since it is the product of 3 distinct primes.

61626 is an admirable number.

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

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (61627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5130 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (15408).

2⁶¹⁶²⁶ is an apocalyptic number.

61626 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632).

61626 is a wasteful number, since it uses less digits than its factorization.

61626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276.

The product of its digits is 432, while the sum is 21.

The square root of 61626 is about 248.2458458867. The cubic root of 61626 is about 39.4991721239.

Subtracting 61626 from its reverse (62616), we obtain a triangular number (990 = T₄₄).

The spelling of 61626 in words is "sixty-one thousand, six hundred twenty-six".