67564000 has 192 divisors, whose sum is σ = 201277440. Its totient is φ = 21772800.

The previous prime is 67563953. The next prime is 67564009. The reversal of 67564000 is 46576.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 67564000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67564009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 531937 + ... + 532063.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^67564000 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 67564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

67564000 is an abundant number, since it is smaller than the sum of its proper divisors (133713440).

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

67564000 is a wasteful number, since it uses less digits than its factorization.

67564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 67564000 is about 8219.7323557401. The cubic root of 67564000 is about 407.2912853421.

The spelling of 67564000 in words is "sixty-seven million, five hundred sixty-four thousand".