61193984 has 72 divisors (see below), whose sum is σ = 134413440. Its totient is φ = 27675648.

The previous prime is 61193933. The next prime is 61193987. The reversal of 61193984 is 48939116.

61193984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61193987) 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 7 ways as a sum of consecutive naturals, for example, 111599 + ... + 112145.

Almost surely, 2^61193984 is an apocalyptic number.

61193984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67206720).

61193984 is an abundant number, since it is smaller than the sum of its proper divisors (73219456).

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

61193984 is a wasteful number, since it uses less digits than its factorization.

61193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 61193984 is about 7822.6583716790. The cubic root of 61193984 is about 394.0665540727.

The spelling of 61193984 in words is "sixty-one million, one hundred ninety-three thousand, nine hundred eighty-four".