67504960 has 56 divisors (see below), whose sum is σ = 170215560. Its totient is φ = 25411584.

The previous prime is 67504951. The next prime is 67504973. The reversal of 67504960 is 6940576.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 65804544 = 1304^2 + 8112^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765 + ... + 11644.

Almost surely, 2^67504960 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 67504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85107780).

67504960 is an abundant number, since it is smaller than the sum of its proper divisors (102710600).

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

67504960 is a wasteful number, since it uses less digits than its factorization.

67504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 67504960 is about 8216.1402130197. The cubic root of 67504960 is about 407.1726152164.

The spelling of 67504960 in words is "sixty-seven million, five hundred four thousand, nine hundred sixty".