67681680 has 160 divisors (see below), whose sum is σ = 236556288. Its totient is φ = 15859200.

The previous prime is 67681661. The next prime is 67681703. The reversal of 67681680 is 8618676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81427 + ... + 82253.

Almost surely, 2^67681680 is an apocalyptic number.

67681680 is a gapful number since it is divisible by the number (60) 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 67681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118278144).

67681680 is an abundant number, since it is smaller than the sum of its proper divisors (168874608).

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

67681680 is a wasteful number, since it uses less digits than its factorization.

67681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 67681680 is about 8226.8876253417. The cubic root of 67681680 is about 407.5276155272.

It can be divided in two parts, 6768 and 1680, that added together give a palindrome (8448).

The spelling of 67681680 in words is "sixty-seven million, six hundred eighty-one thousand, six hundred eighty".