67961344 has 60 divisors (see below), whose sum is σ = 149392782. Its totient is φ = 30863360.

The previous prime is 67961293. The next prime is 67961351. The reversal of 67961344 is 44316976.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 5234944 = 7920^2 + 2288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67961297 and 67961306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61404 + ... + 62500.

Almost surely, 2^67961344 is an apocalyptic number.

67961344 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 67961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74696391).

67961344 is an abundant number, since it is smaller than the sum of its proper divisors (81431438).

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

67961344 is a wasteful number, since it uses less digits than its factorization.

67961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 67961344 is about 8243.8670537558. The cubic root of 67961344 is about 408.0881521687.

The spelling of 67961344 in words is "sixty-seven million, nine hundred sixty-one thousand, three hundred forty-four".