67976064 has 256 divisors, whose sum is σ = 231336000. Its totient is φ = 19464192.

The previous prime is 67976023. The next prime is 67976089. The reversal of 67976064 is 46067976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763732 + ... + 763820.

Almost surely, 2^67976064 is an apocalyptic number.

67976064 is a gapful number since it is divisible by the number (64) 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 67976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

67976064 is an abundant number, since it is smaller than the sum of its proper divisors (163359936).

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

67976064 is a wasteful number, since it uses less digits than its factorization.

67976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 67976064 is about 8244.7597903153. The cubic root of 67976064 is about 408.1176131515.

The spelling of 67976064 in words is "sixty-seven million, nine hundred seventy-six thousand, sixty-four".