67328820 has 240 divisors, whose sum is σ = 239057280. Its totient is φ = 15738624.

The previous prime is 67328819. The next prime is 67328831. The reversal of 67328820 is 2882376.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484311 + ... + 484449.

It is an arithmetic number, because the mean of its divisors is an integer number (996072).

Almost surely, 2^67328820 is an apocalyptic number.

67328820 is a gapful number since it is divisible by the number (60) 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 67328820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119528640).

67328820 is an abundant number, since it is smaller than the sum of its proper divisors (171728460).

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

67328820 is a wasteful number, since it uses less digits than its factorization.

67328820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67328820 is about 8205.4140663345. The cubic root of 67328820 is about 406.8181629711.

The spelling of 67328820 in words is "sixty-seven million, three hundred twenty-eight thousand, eight hundred twenty".