67527680 has 132 divisors (see below), whose sum is σ = 179685660. Its totient is φ = 24330240.

The previous prime is 67527643. The next prime is 67527737. The reversal of 67527680 is 8672576.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35808256 + 31719424 = 5984^2 + 5632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619466 + ... + 619574.

It is an arithmetic number, because the mean of its divisors is an integer number (1361255).

Almost surely, 2^67527680 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 67527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89842830).

67527680 is an abundant number, since it is smaller than the sum of its proper divisors (112157980).

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

67527680 is a wasteful number, since it uses less digits than its factorization.

67527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 67527680 is about 8217.5227410698. The cubic root of 67527680 is about 407.2182904979.

The spelling of 67527680 in words is "sixty-seven million, five hundred twenty-seven thousand, six hundred eighty".