67088560 has 80 divisors (see below), whose sum is σ = 194487552. Its totient is φ = 20908800.

The previous prime is 67088521. The next prime is 67088561. The reversal of 67088560 is 6588076.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (67088561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715 + ... + 11605.

Almost surely, 2^67088560 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 67088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97243776).

67088560 is an abundant number, since it is smaller than the sum of its proper divisors (127398992).

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

67088560 is a wasteful number, since it uses less digits than its factorization.

67088560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 67088560 is about 8190.7606484380. The cubic root of 67088560 is about 406.3336818542. Note that the first 3 decimals are identical.

The spelling of 67088560 in words is "sixty-seven million, eighty-eight thousand, five hundred sixty".