61105824 has 144 divisors (see below), whose sum is σ = 197215200. Its totient is φ = 17791488.

The previous prime is 61105817. The next prime is 61105831. The reversal of 61105824 is 42850116.

It is an interprime number because it is at equal distance from previous prime (61105817) and next prime (61105831).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70707 + ... + 71565.

It is an arithmetic number, because the mean of its divisors is an integer number (1369550).

Almost surely, 2^61105824 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 61105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98607600).

61105824 is an abundant number, since it is smaller than the sum of its proper divisors (136109376).

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

61105824 is a wasteful number, since it uses less digits than its factorization.

61105824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61105824 is about 7817.0214276283. The cubic root of 61105824 is about 393.8772238923.

The spelling of 61105824 in words is "sixty-one million, one hundred five thousand, eight hundred twenty-four".