67824480 has 48 divisors (see below), whose sum is σ = 213648624. Its totient is φ = 18086400.

The previous prime is 67824479. The next prime is 67824481. The reversal of 67824480 is 8442876.

It is an interprime number because it is at equal distance from previous prime (67824479) and next prime (67824481).

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 (67824481) 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, 70171 + ... + 71130.

It is an arithmetic number, because the mean of its divisors is an integer number (4451013).

Almost surely, 2^67824480 is an apocalyptic number.

67824480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67824480 is an abundant number, since it is smaller than the sum of its proper divisors (145824144).

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

67824480 is a wasteful number, since it uses less digits than its factorization.

67824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141319 (or 141311 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 67824480 is about 8235.5619116123. The cubic root of 67824480 is about 407.8140251994.

The spelling of 67824480 in words is "sixty-seven million, eight hundred twenty-four thousand, four hundred eighty".