61368384 has 168 divisors, whose sum is σ = 206398368. Its totient is φ = 15912960.

The previous prime is 61368371. The next prime is 61368397. The reversal of 61368384 is 48386316.

It is an interprime number because it is at equal distance from previous prime (61368371) and next prime (61368397).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103192 + ... + 103784.

Almost surely, 2^61368384 is an apocalyptic number.

61368384 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 61368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199184).

61368384 is an abundant number, since it is smaller than the sum of its proper divisors (145029984).

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

61368384 is a wasteful number, since it uses less digits than its factorization.

61368384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 61368384 is about 7833.7975465288. The cubic root of 61368384 is about 394.4405561006.

The spelling of 61368384 in words is "sixty-one million, three hundred sixty-eight thousand, three hundred eighty-four".