61420128 has 144 divisors (see below), whose sum is σ = 204773184. Its totient is φ = 15939840.

The previous prime is 61420123. The next prime is 61420147. The reversal of 61420128 is 82102416.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61420098 and 61420107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61420123) 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 23 ways as a sum of consecutive naturals, for example, 51151 + ... + 52337.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 2^61420128 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 61420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102386592).

61420128 is an abundant number, since it is smaller than the sum of its proper divisors (143353056).

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

61420128 is a wasteful number, since it uses less digits than its factorization.

61420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 61420128 is about 7837.0994634495. The cubic root of 61420128 is about 394.5513851472.

The spelling of 61420128 in words is "sixty-one million, four hundred twenty thousand, one hundred twenty-eight".