61054128 has 160 divisors (see below), whose sum is σ = 186654720. Its totient is φ = 19077120.

The previous prime is 61054127. The next prime is 61054139. The reversal of 61054128 is 82145016.

61054128 is a `hidden beast` number, since 610 + 5 + 41 + 2 + 8 = 666.

61054128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61054127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629376 + ... + 629472.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^61054128 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 61054128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

61054128 is an abundant number, since it is smaller than the sum of its proper divisors (125600592).

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

61054128 is a wasteful number, since it uses less digits than its factorization.

61054128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61054128 is about 7813.7140976619. The cubic root of 61054128 is about 393.7661181611.

The spelling of 61054128 in words is "sixty-one million, fifty-four thousand, one hundred twenty-eight".