61753664 has 56 divisors (see below), whose sum is σ = 140817600. Its totient is φ = 26320896.

The previous prime is 61753663. The next prime is 61753687. The reversal of 61753664 is 46635716.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61753663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137312 + ... + 137760.

It is an arithmetic number, because the mean of its divisors is an integer number (2514600).

Almost surely, 2^61753664 is an apocalyptic number.

61753664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70408800).

61753664 is an abundant number, since it is smaller than the sum of its proper divisors (79063936).

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

61753664 is a wasteful number, since it uses less digits than its factorization.

61753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 61753664 is about 7858.3499540298. The cubic root of 61753664 is about 395.2642871591.

The spelling of 61753664 in words is "sixty-one million, seven hundred fifty-three thousand, six hundred sixty-four".