61070976 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 19814400.

The previous prime is 61070927. The next prime is 61071007. The reversal of 61070976 is 67907016.

61070976 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 (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61070976.

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 15 ways as a sum of consecutive naturals, for example, 141481 + ... + 141911.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^61070976 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 61070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

61070976 is an abundant number, since it is smaller than the sum of its proper divisors (123997824).

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

61070976 is a wasteful number, since it uses less digits than its factorization.

61070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 61070976 is about 7814.7921277536. The cubic root of 61070976 is about 393.8023349937.

The spelling of 61070976 in words is "sixty-one million, seventy thousand, nine hundred seventy-six".