67284960 has 48 divisors (see below), whose sum is σ = 211949136. Its totient is φ = 17942528.

The previous prime is 67284949. The next prime is 67284967. The reversal of 67284960 is 6948276.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67284967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69609 + ... + 70568.

It is an arithmetic number, because the mean of its divisors is an integer number (4415607).

Almost surely, 2^67284960 is an apocalyptic number.

67284960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67284960 is an abundant number, since it is smaller than the sum of its proper divisors (144664176).

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

67284960 is a wasteful number, since it uses less digits than its factorization.

67284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140195 (or 140187 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 67284960 is about 8202.7410052982. The cubic root of 67284960 is about 406.7298059569.

The spelling of 67284960 in words is "sixty-seven million, two hundred eighty-four thousand, nine hundred sixty".