61942128 has 80 divisors (see below), whose sum is σ = 175822080. Its totient is φ = 18703872.

The previous prime is 61942121. The next prime is 61942159. The reversal of 61942128 is 82124916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61942121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19500 + ... + 22452.

It is an arithmetic number, because the mean of its divisors is an integer number (2197776).

Almost surely, 2^61942128 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 61942128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87911040).

61942128 is an abundant number, since it is smaller than the sum of its proper divisors (113879952).

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

61942128 is a wasteful number, since it uses less digits than its factorization.

61942128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 61942128 is about 7870.3321403865. The cubic root of 61942128 is about 395.6659768782.

The spelling of 61942128 in words is "sixty-one million, nine hundred forty-two thousand, one hundred twenty-eight".