61026048 has 144 divisors (see below), whose sum is σ = 184368800. Its totient is φ = 20155392.

The previous prime is 61026041. The next prime is 61026067. The reversal of 61026048 is 84062016.

61026048 is a `hidden beast` number, since 610 + 2 + 6 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61026041) 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 15 ways as a sum of consecutive naturals, for example, 559818 + ... + 559926.

Almost surely, 2^61026048 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 61026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92184400).

61026048 is an abundant number, since it is smaller than the sum of its proper divisors (123342752).

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

61026048 is an frugal number, since it uses more digits than its factorization.

61026048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61026048 is about 7811.9170502509. The cubic root of 61026048 is about 393.7057419643.

The spelling of 61026048 in words is "sixty-one million, twenty-six thousand, forty-eight".