67584420 has 72 divisors (see below), whose sum is σ = 205994880. Its totient is φ = 17935680.

The previous prime is 67584397. The next prime is 67584427. The reversal of 67584420 is 2448576.

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 (67584427) 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, 42235 + ... + 43805.

It is an arithmetic number, because the mean of its divisors is an integer number (2861040).

Almost surely, 2^67584420 is an apocalyptic number.

67584420 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 67584420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102997440).

67584420 is an abundant number, since it is smaller than the sum of its proper divisors (138410460).

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

67584420 is a wasteful number, since it uses less digits than its factorization.

67584420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 67584420 is about 8220.9743948026. The cubic root of 67584420 is about 407.3323133566.

The spelling of 67584420 in words is "sixty-seven million, five hundred eighty-four thousand, four hundred twenty".