61119968 has 96 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 23846400.

The previous prime is 61119959. The next prime is 61120001. The reversal of 61119968 is 86991116.

It is a happy number.

61119968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 404693 + ... + 404843.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2^61119968 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 61119968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75075840).

61119968 is an abundant number, since it is smaller than the sum of its proper divisors (89031712).

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

61119968 is a wasteful number, since it uses less digits than its factorization.

61119968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 23328, while the sum is 41.

The square root of 61119968 is about 7817.9260676985. The cubic root of 61119968 is about 393.9076114468.

The spelling of 61119968 in words is "sixty-one million, one hundred nineteen thousand, nine hundred sixty-eight".