61930880 has 128 divisors (see below), whose sum is σ = 170380800. Its totient is φ = 21288960.

The previous prime is 61930849. The next prime is 61930903. The reversal of 61930880 is 8803916.

61930880 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 self number, because there is not a number n which added to its sum of digits gives 61930880.

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 15 ways as a sum of consecutive naturals, for example, 133529 + ... + 133991.

It is an arithmetic number, because the mean of its divisors is an integer number (1331100).

Almost surely, 2^61930880 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 61930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190400).

61930880 is an abundant number, since it is smaller than the sum of its proper divisors (108449920).

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

61930880 is a wasteful number, since it uses less digits than its factorization.

61930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 61930880 is about 7869.6175256489. The cubic root of 61930880 is about 395.6420259180.

The spelling of 61930880 in words is "sixty-one million, nine hundred thirty thousand, eight hundred eighty".