67342880 has 96 divisors (see below), whose sum is σ = 176033088. Its totient is φ = 24140800.

The previous prime is 67342879. The next prime is 67342883. The reversal of 67342880 is 8824376.

It is not an unprimeable number, because it can be changed into a prime (67342883) 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 15 ways as a sum of consecutive naturals, for example, 145850 + ... + 146310.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 2^67342880 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 67342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016544).

67342880 is an abundant number, since it is smaller than the sum of its proper divisors (108690208).

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

67342880 is a wasteful number, since it uses less digits than its factorization.

67342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 67342880 is about 8206.2707730126. The cubic root of 67342880 is about 406.8464790536.

The spelling of 67342880 in words is "sixty-seven million, three hundred forty-two thousand, eight hundred eighty".