67339680 has 96 divisors (see below), whose sum is σ = 216203904. Its totient is φ = 17611776.

The previous prime is 67339663. The next prime is 67339681. The reversal of 67339680 is 8693376.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (67339681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24117 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (2252124).

Almost surely, 2^67339680 is an apocalyptic number.

67339680 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 67339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108101952).

67339680 is an abundant number, since it is smaller than the sum of its proper divisors (148864224).

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

67339680 is a wasteful number, since it uses less digits than its factorization.

67339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 67339680 is about 8206.0757978464. The cubic root of 67339680 is about 406.8400347725.

The spelling of 67339680 in words is "sixty-seven million, three hundred thirty-nine thousand, six hundred eighty".