67605408 has 144 divisors (see below), whose sum is σ = 213978240. Its totient is φ = 20756736.

The previous prime is 67605407. The next prime is 67605431. The reversal of 67605408 is 80450676.

It is a happy number.

67605408 is a `hidden beast` number, since 6 + 7 + 605 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67605403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145785 + ... + 146247.

It is an arithmetic number, because the mean of its divisors is an integer number (1485960).

Almost surely, 2^67605408 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 67605408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106989120).

67605408 is an abundant number, since it is smaller than the sum of its proper divisors (146372832).

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

67605408 is a wasteful number, since it uses less digits than its factorization.

67605408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67605408 is about 8222.2507867372. The cubic root of 67605408 is about 407.3744739896.

The spelling of 67605408 in words is "sixty-seven million, six hundred five thousand, four hundred eight".