61334600 has 48 divisors (see below), whose sum is σ = 144590820. Its totient is φ = 24192000.

The previous prime is 61334597. The next prime is 61334639. The reversal of 61334600 is 643316.

61334600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9523396 + 51811204 = 3086^2 + 7198^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12500 + ... + 16700.

Almost surely, 2^61334600 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 61334600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72295410).

61334600 is an abundant number, since it is smaller than the sum of its proper divisors (83256220).

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

61334600 is a wasteful number, since it uses less digits than its factorization.

61334600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 61334600 is about 7831.6409519334. The cubic root of 61334600 is about 394.3681614626.

Adding to 61334600 its reverse (643316), we get a palindrome (61977916).

The spelling of 61334600 in words is "sixty-one million, three hundred thirty-four thousand, six hundred".