61839680 has 112 divisors (see below), whose sum is σ = 177271680. Its totient is φ = 20072448.

The previous prime is 61839677. The next prime is 61839703. The reversal of 61839680 is 8693816.

It is a happy number.

61839680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 41834 + ... + 43286.

Almost surely, 2^61839680 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 61839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88635840).

61839680 is an abundant number, since it is smaller than the sum of its proper divisors (115432000).

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

61839680 is a wasteful number, since it uses less digits than its factorization.

61839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 61839680 is about 7863.8209542181. The cubic root of 61839680 is about 395.4477217782.

The spelling of 61839680 in words is "sixty-one million, eight hundred thirty-nine thousand, six hundred eighty".