68587648 has 32 divisors (see below), whose sum is σ = 137550060. Its totient is φ = 34065408.

The previous prime is 68587643. The next prime is 68587667. The reversal of 68587648 is 84678586.

It can be written as a sum of positive squares in 2 ways, for example, as 66716224 + 1871424 = 8168^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (2580480) is a multiple of the sum of its prime factors (3584).

It is a junction number, because it is equal to n+sod(n) for n = 68587595 and 68587604.

It is not an unprimeable number, because it can be changed into a prime (68587643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18390 + ... + 21802.

Almost surely, 2^68587648 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 68587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68775030).

68587648 is an abundant number, since it is smaller than the sum of its proper divisors (68962412).

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

68587648 is a wasteful number, since it uses less digits than its factorization.

68587648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3572 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 68587648 is about 8281.7659952452. The cubic root of 68587648 is about 409.3379121695.

The spelling of 68587648 in words is "sixty-eight million, five hundred eighty-seven thousand, six hundred forty-eight".