61242048 has 224 divisors, whose sum is σ = 211653120. Its totient is φ = 17003520.

The previous prime is 61242047. The next prime is 61242053. The reversal of 61242048 is 84024216.

61242048 is a `hidden beast` number, since 612 + 4 + 2 + 0 + 48 = 666.

61242048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 (61242047) 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, 737815 + ... + 737897.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^61242048 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 61242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826560).

61242048 is an abundant number, since it is smaller than the sum of its proper divisors (150411072).

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

61242048 is a wasteful number, since it uses less digits than its factorization.

61242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61242048 is about 7825.7298701144. The cubic root of 61242048 is about 394.1696985157.

The spelling of 61242048 in words is "sixty-one million, two hundred forty-two thousand, forty-eight".