61074720 has 288 divisors, whose sum is σ = 244363392. Its totient is φ = 13602816.

The previous prime is 61074719. The next prime is 61074757. The reversal of 61074720 is 2747016.

61074720 is a `hidden beast` number, since 610 + 7 + 47 + 2 + 0 = 666.

61074720 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 (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 735799 + ... + 735881.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^61074720 is an apocalyptic number.

61074720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122181696).

61074720 is an abundant number, since it is smaller than the sum of its proper divisors (183288672).

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

61074720 is a wasteful number, since it uses less digits than its factorization.

61074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 61074720 is about 7815.0316698015. The cubic root of 61074720 is about 393.8103822742.

The spelling of 61074720 in words is "sixty-one million, seventy-four thousand, seven hundred twenty".