61642752 has 96 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 20127744.

The previous prime is 61642751. The next prime is 61642759. The reversal of 61642752 is 25724616.

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 (61642751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485313 + ... + 485439.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^61642752 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 61642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

61642752 is an abundant number, since it is smaller than the sum of its proper divisors (106088448).

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

61642752 is a wasteful number, since it uses less digits than its factorization.

61642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 61642752 is about 7851.2898303400. The cubic root of 61642752 is about 395.0275086327.

The spelling of 61642752 in words is "sixty-one million, six hundred forty-two thousand, seven hundred fifty-two".