67315680 has 72 divisors (see below), whose sum is σ = 229719672. Its totient is φ = 17950464.

The previous prime is 67315673. The next prime is 67315723. The reversal of 67315680 is 8651376.

67315680 is a `hidden beast` number, since 67 + 31 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×67315680³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21934 + ... + 24813.

It is an arithmetic number, because the mean of its divisors is an integer number (3190551).

Almost surely, 2^67315680 is an apocalyptic number.

67315680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67315680 is an abundant number, since it is smaller than the sum of its proper divisors (162403992).

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

67315680 is a wasteful number, since it uses less digits than its factorization.

67315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46768 (or 46757 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 67315680 is about 8204.6133364102. The cubic root of 67315680 is about 406.7916961552.

The spelling of 67315680 in words is "sixty-seven million, three hundred fifteen thousand, six hundred eighty".