67136328 has 96 divisors (see below), whose sum is σ = 214556160. Its totient is φ = 18558720.

The previous prime is 67136323. The next prime is 67136341. The reversal of 67136328 is 82363176.

It is a happy number.

67136328 is a `hidden beast` number, since 6 + 7 + 13 + 632 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67136292 and 67136301.

It is not an unprimeable number, because it can be changed into a prime (67136323) 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, 13476 + ... + 17772.

It is an arithmetic number, because the mean of its divisors is an integer number (2234960).

Almost surely, 2^67136328 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 67136328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107278080).

67136328 is an abundant number, since it is smaller than the sum of its proper divisors (147419832).

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

67136328 is a wasteful number, since it uses less digits than its factorization.

67136328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4340 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 67136328 is about 8193.6760980649. The cubic root of 67136328 is about 406.4300974103.

It can be divided in two parts, 6713 and 6328, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 67136328 in words is "sixty-seven million, one hundred thirty-six thousand, three hundred twenty-eight".