67256080 has 60 divisors (see below), whose sum is σ = 166166820. Its totient is φ = 25311232.

The previous prime is 67256051. The next prime is 67256083. The reversal of 67256080 is 8065276.

It can be written as a sum of positive squares in 6 ways, for example, as 11723776 + 55532304 = 3424^2 + 7452^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (67256083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21666 + ... + 24574.

It is an arithmetic number, because the mean of its divisors is an integer number (2769447).

Almost surely, 2^67256080 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 67256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83083410).

67256080 is an abundant number, since it is smaller than the sum of its proper divisors (98910740).

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

67256080 is a wasteful number, since it uses less digits than its factorization.

67256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 67256080 is about 8200.9804291926. The cubic root of 67256080 is about 406.6716055419.

The spelling of 67256080 in words is "sixty-seven million, two hundred fifty-six thousand, eighty".