67664160 has 240 divisors, whose sum is σ = 250278336. Its totient is φ = 17183232.

The previous prime is 67664159. The next prime is 67664237. The reversal of 67664160 is 6146676.

67664160 is a `hidden beast` number, since 6 + 7 + 6 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 297967 + ... + 298193.

Almost surely, 2^67664160 is an apocalyptic number.

67664160 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 67664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

67664160 is an abundant number, since it is smaller than the sum of its proper divisors (182614176).

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

67664160 is a wasteful number, since it uses less digits than its factorization.

67664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67664160 is about 8225.8227552021. The cubic root of 67664160 is about 407.4924484530.

The spelling of 67664160 in words is "sixty-seven million, six hundred sixty-four thousand, one hundred sixty".