61420928 has 32 divisors (see below), whose sum is σ = 123599520. Its totient is φ = 30400000.

The previous prime is 61420921. The next prime is 61420937. The reversal of 61420928 is 82902416.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 61420894 and 61420903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61420921) 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 3 ways as a sum of consecutive naturals, for example, 10553 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (3862485).

Almost surely, 2^61420928 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 61420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61799760).

61420928 is an abundant number, since it is smaller than the sum of its proper divisors (62178592).

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

61420928 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (61420927) it forms an eRAP, since the sums of their prime factors are consecutive (4865 and 4866).

61420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 61420928 is about 7837.1505025743. The cubic root of 61420928 is about 394.5530981564.

The spelling of 61420928 in words is "sixty-one million, four hundred twenty thousand, nine hundred twenty-eight".