67408680 has 64 divisors (see below), whose sum is σ = 205675200. Its totient is φ = 17669120.

The previous prime is 67408667. The next prime is 67408687. The reversal of 67408680 is 8680476.

It is a super-4 number, since 4×67408680⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (67408687) 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, 2320 + ... + 11840.

It is an arithmetic number, because the mean of its divisors is an integer number (3213675).

Almost surely, 2^67408680 is an apocalyptic number.

67408680 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 67408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102837600).

67408680 is an abundant number, since it is smaller than the sum of its proper divisors (138266520).

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

67408680 is a wasteful number, since it uses less digits than its factorization.

67408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 67408680 is about 8210.2789233984. The cubic root of 67408680 is about 406.9789443516.

The spelling of 67408680 in words is "sixty-seven million, four hundred eight thousand, six hundred eighty".