67504320 has 224 divisors, whose sum is σ = 256885440. Its totient is φ = 16588800.

The previous prime is 67504313. The next prime is 67504343. The reversal of 67504320 is 2340576.

It is a happy number.

It is a super-3 number, since 3×67504320³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112020 + ... + 112620.

It is an arithmetic number, because the mean of its divisors is an integer number (1146810).

Almost surely, 2^67504320 is an apocalyptic number.

67504320 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 67504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128442720).

67504320 is an abundant number, since it is smaller than the sum of its proper divisors (189381120).

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

67504320 is a wasteful number, since it uses less digits than its factorization.

67504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 67504320 is about 8216.1012651987. The cubic root of 67504320 is about 407.1713284403.

Adding to 67504320 its reverse (2340576), we get a palindrome (69844896).

It can be divided in two parts, 6750 and 4320, that multiplied together give a square (29160000 = 5400²).

The spelling of 67504320 in words is "sixty-seven million, five hundred four thousand, three hundred twenty".