61168040 has 64 divisors (see below), whose sum is σ = 152098560. Its totient is φ = 22021120.

The previous prime is 61168039. The next prime is 61168097. The reversal of 61168040 is 4086116.

61168040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 7821²-1.

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, 13685 + ... + 17595.

It is an arithmetic number, because the mean of its divisors is an integer number (2376540).

Almost surely, 2^61168040 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 61168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049280).

61168040 is an abundant number, since it is smaller than the sum of its proper divisors (90930520).

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

61168040 is a wasteful number, since it uses less digits than its factorization.

61168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 61168040 is about 7820.9999360696. Note that the first 4 decimals coincide. The cubic root of 61168040 is about 394.0108562891.

The spelling of 61168040 in words is "sixty-one million, one hundred sixty-eight thousand, forty".