61064928 has 72 divisors (see below), whose sum is σ = 180107928. Its totient is φ = 20352384.

The previous prime is 61064921. The next prime is 61064929. The reversal of 61064928 is 82946016.

61064928 is a `hidden beast` number, since 6 + 1 + 0 + 649 + 2 + 8 = 666.

61064928 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61064892 and 61064901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61064921) 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 11 ways as a sum of consecutive naturals, for example, 3850 + ... + 11702.

It is an arithmetic number, because the mean of its divisors is an integer number (2501499).

Almost surely, 2^61064928 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 61064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90053964).

61064928 is an abundant number, since it is smaller than the sum of its proper divisors (119043000).

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

61064928 is an equidigital number, since it uses as much as digits as its factorization.

61064928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61064928 is about 7814.4051597035. The cubic root of 61064928 is about 393.7893348459.

The spelling of 61064928 in words is "sixty-one million, sixty-four thousand, nine hundred twenty-eight".