61648080 has 80 divisors (see below), whose sum is σ = 205820160. Its totient is φ = 15174144.

The previous prime is 61648049. The next prime is 61648121. The reversal of 61648080 is 8084616.

61648080 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 (80).

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, 6760 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^61648080 is an apocalyptic number.

61648080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61648080 is an abundant number, since it is smaller than the sum of its proper divisors (144172080).

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

61648080 is a wasteful number, since it uses less digits than its factorization.

61648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19788 (or 19782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61648080 is about 7851.6291303143. The cubic root of 61648080 is about 395.0388895108.

The spelling of 61648080 in words is "sixty-one million, six hundred forty-eight thousand, eighty".