61000128 has 210 divisors, whose sum is σ = 211818728. Its totient is φ = 17003520.

The previous prime is 61000111. The next prime is 61000133. The reversal of 61000128 is 82100016.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 61000128.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1487788 + ... + 1487828.

Almost surely, 2^61000128 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 61000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909364).

61000128 is an abundant number, since it is smaller than the sum of its proper divisors (150818600).

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

61000128 is an equidigital number, since it uses as much as digits as its factorization.

61000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 61000128 is about 7810.2578702627. The cubic root of 61000128 is about 393.6499936497.

The spelling of 61000128 in words is "sixty-one million, one hundred twenty-eight", and thus it is an aban number.