61300128 has 48 divisors (see below), whose sum is σ = 161886816. Its totient is φ = 20309760.

The previous prime is 61300123. The next prime is 61300139. The reversal of 61300128 is 82100316.

61300128 is a nontrivial binomial coefficient, being equal to C(11073, 2).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (61300123) 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, 14763 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (3372642).

Almost surely, 2^61300128 is an apocalyptic number.

61300128 is the 11072-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80943408).

61300128 is an abundant number, since it is smaller than the sum of its proper divisors (100586688).

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

61300128 is a wasteful number, since it uses less digits than its factorization.

61300128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61300128 is about 7829.4398267054. The cubic root of 61300128 is about 394.2942651250.

The spelling of 61300128 in words is "sixty-one million, three hundred thousand, one hundred twenty-eight".