67624480 has 144 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 21035520.

The previous prime is 67624463. The next prime is 67624481. The reversal of 67624480 is 8442676.

It is not an unprimeable number, because it can be changed into a prime (67624481) 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 23 ways as a sum of consecutive naturals, for example, 135271 + ... + 135769.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^67624480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

67624480 is an abundant number, since it is smaller than the sum of its proper divisors (133471520).

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

67624480 is a wasteful number, since it uses less digits than its factorization.

67624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 67624480 is about 8223.4104847077. The cubic root of 67624480 is about 407.4127782008.

The spelling of 67624480 in words is "sixty-seven million, six hundred twenty-four thousand, four hundred eighty".