67480960 has 64 divisors (see below), whose sum is σ = 163134720. Its totient is φ = 26689536.

The previous prime is 67480943. The next prime is 67480961. The reversal of 67480960 is 6908476.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67480961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61537 + ... + 62623.

It is an arithmetic number, because the mean of its divisors is an integer number (2548980).

Almost surely, 2^67480960 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 67480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81567360).

67480960 is an abundant number, since it is smaller than the sum of its proper divisors (95653760).

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

67480960 is a wasteful number, since it uses less digits than its factorization.

67480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 67480960 is about 8214.6795433541. The cubic root of 67480960 is about 407.1243555473.

The spelling of 67480960 in words is "sixty-seven million, four hundred eighty thousand, nine hundred sixty".