61048512 has 224 divisors, whose sum is σ = 211328000. Its totient is φ = 17273088.

The previous prime is 61048511. The next prime is 61048531. The reversal of 61048512 is 21584016.

61048512 is a `hidden beast` number, since 610 + 48 + 5 + 1 + 2 = 666.

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 (61048511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592653 + ... + 592755.

Almost surely, 2^61048512 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 61048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105664000).

61048512 is an abundant number, since it is smaller than the sum of its proper divisors (150279488).

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

61048512 is a wasteful number, since it uses less digits than its factorization.

61048512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

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

The square root of 61048512 is about 7813.3547212449. The cubic root of 61048512 is about 393.7540444029.

The spelling of 61048512 in words is "sixty-one million, forty-eight thousand, five hundred twelve".