61138880 has 84 divisors (see below), whose sum is σ = 160126680. Its totient is φ = 22218240.

The previous prime is 61138859. The next prime is 61138901. The reversal of 61138880 is 8883116.

It is a happy number.

61138880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61138859) and next prime (61138901).

It is a self number, because there is not a number n which added to its sum of digits gives 61138880.

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, 37931 + ... + 39509.

It is an arithmetic number, because the mean of its divisors is an integer number (1906270).

Almost surely, 2^61138880 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 61138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80063340).

61138880 is an abundant number, since it is smaller than the sum of its proper divisors (98987800).

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

61138880 is a wasteful number, since it uses less digits than its factorization.

61138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 61138880 is about 7819.1355020872. The cubic root of 61138880 is about 393.9482354456.

The spelling of 61138880 in words is "sixty-one million, one hundred thirty-eight thousand, eight hundred eighty".