61665504 has 96 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 19748352.

The previous prime is 61665503. The next prime is 61665529. The reversal of 61665504 is 40556616.

61665504 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61665503) by changing a digit.

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, 356362 + ... + 356534.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 2^61665504 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 61665504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

61665504 is an abundant number, since it is smaller than the sum of its proper divisors (106710816).

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

61665504 is a wasteful number, since it uses less digits than its factorization.

61665504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 61665504 is about 7852.7386305670. The cubic root of 61665504 is about 395.0761034799.

The spelling of 61665504 in words is "sixty-one million, six hundred sixty-five thousand, five hundred four".