61104888 has 128 divisors (see below), whose sum is σ = 187084800. Its totient is φ = 18361728.

The previous prime is 61104887. The next prime is 61104889. The reversal of 61104888 is 88840116.

61104888 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 (61104887) and next prime (61104889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61104881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131745 + ... + 132207.

It is an arithmetic number, because the mean of its divisors is an integer number (1461600).

Almost surely, 2^61104888 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 61104888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93542400).

61104888 is an abundant number, since it is smaller than the sum of its proper divisors (125979912).

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

61104888 is a wasteful number, since it uses less digits than its factorization.

61104888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 61104888 is about 7816.9615580480. The cubic root of 61104888 is about 393.8752127857.

The spelling of 61104888 in words is "sixty-one million, one hundred four thousand, eight hundred eighty-eight".