67065408 has 140 divisors (see below), whose sum is σ = 210773772. Its totient is φ = 21012480.

The previous prime is 67065407. The next prime is 67065433. The reversal of 67065408 is 80456076.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 47775744 = 4392^2 + 6912^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67065407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87748 + ... + 88508.

Almost surely, 2^67065408 is an apocalyptic number.

67065408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386886).

67065408 is an abundant number, since it is smaller than the sum of its proper divisors (143708364).

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

67065408 is a wasteful number, since it uses less digits than its factorization.

67065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

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

The square root of 67065408 is about 8189.3472267330. The cubic root of 67065408 is about 406.2869350876.

The spelling of 67065408 in words is "sixty-seven million, sixty-five thousand, four hundred eight".