67947264 has 216 divisors, whose sum is σ = 244887552. Its totient is φ = 17602560.

The previous prime is 67947263. The next prime is 67947301. The reversal of 67947264 is 46274976.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (67947263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177217 + ... + 177599.

Almost surely, 2^67947264 is an apocalyptic number.

67947264 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 67947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443776).

67947264 is an abundant number, since it is smaller than the sum of its proper divisors (176940288).

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

67947264 is a wasteful number, since it uses less digits than its factorization.

67947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67947264 is about 8243.0130413581. The cubic root of 67947264 is about 408.0599681174.

The spelling of 67947264 in words is "sixty-seven million, nine hundred forty-seven thousand, two hundred sixty-four".