67739648 has 28 divisors (see below), whose sum is σ = 135487410. Its totient is φ = 33865728.

The previous prime is 67739647. The next prime is 67739653. The reversal of 67739648 is 84693776.

It can be written as a sum of positive squares in only one way, i.e., 43454464 + 24285184 = 6592^2 + 4928^2 .

It is a super-2 number, since 2×67739648² = 9177319822327808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67739596 and 67739605.

It is not an unprimeable number, because it can be changed into a prime (67739647) by changing a digit.

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 as a sum of consecutive naturals, namely, 4058 + ... + 12326.

Almost surely, 2^67739648 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 67739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67743705).

67739648 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

67739648 is an frugal number, since it uses more digits than its factorization.

67739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8271 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 67739648 is about 8230.4099533377. The cubic root of 67739648 is about 407.6439287337.

The spelling of 67739648 in words is "sixty-seven million, seven hundred thirty-nine thousand, six hundred forty-eight".