61264720 has 60 divisors (see below), whose sum is σ = 156591540. Its totient is φ = 22274560.

The previous prime is 61264657. The next prime is 61264769. The reversal of 61264720 is 2746216.

61264720 = T₁₄₆₅ + T₁₄₆₆ + ... + T₁₅₁₉.

61264720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34762816 + 26501904 = 5896^2 + 5148^2 .

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 11 ways as a sum of consecutive naturals, for example, 6516 + ... + 12844.

It is an arithmetic number, because the mean of its divisors is an integer number (2609859).

Almost surely, 2^61264720 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 61264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78295770).

61264720 is an abundant number, since it is smaller than the sum of its proper divisors (95326820).

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

61264720 is a wasteful number, since it uses less digits than its factorization.

61264720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 61264720 is about 7827.1782910574. The cubic root of 61264720 is about 394.2183334713.

The spelling of 61264720 in words is "sixty-one million, two hundred sixty-four thousand, seven hundred twenty".