61948128 has 72 divisors (see below), whose sum is σ = 178774344. Its totient is φ = 18768640.

The previous prime is 61948127. The next prime is 61948169. The reversal of 61948128 is 82184916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61948127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8950 + ... + 14282.

It is an arithmetic number, because the mean of its divisors is an integer number (2482977).

Almost surely, 2^61948128 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 61948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89387172).

61948128 is an abundant number, since it is smaller than the sum of its proper divisors (116826216).

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

61948128 is a wasteful number, since it uses less digits than its factorization.

61948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5349 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 61948128 is about 7870.7133094784. The cubic root of 61948128 is about 395.6787518091.

The spelling of 61948128 in words is "sixty-one million, nine hundred forty-eight thousand, one hundred twenty-eight".