61968384 has 117 divisors (see below), whose sum is σ = 183470209. Its totient is φ = 20152320.

The previous prime is 61968373. The next prime is 61968397. The reversal of 61968384 is 48386916.

The square root of 61968384 is 7872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 58982400 = 1728^2 + 7680^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1511404 + ... + 1511444.

Almost surely, 2^61968384 is an apocalyptic number.

61968384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61968384 is the 7872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61968384

61968384 is an abundant number, since it is smaller than the sum of its proper divisors (121501825).

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

61968384 is an equidigital number, since it uses as much as digits as its factorization.

61968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 46 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 61968384 is about 395.7218738836.

The spelling of 61968384 in words is "sixty-one million, nine hundred sixty-eight thousand, three hundred eighty-four".