67564 has 24 divisors (see below), whose sum is σ = 143360. Its totient is φ = 27216.

The previous prime is 67559. The next prime is 67567. The reversal of 67564 is 46576.

67564 = T₅₅ + T₅₆ + ... + T₈₂.

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

It is not an unprimeable number, because it can be changed into a prime (67567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469 + ... + 595.

2⁶⁷⁵⁶⁴ 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 67564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71680).

67564 is an abundant number, since it is smaller than the sum of its proper divisors (75796).

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

67564 is a wasteful number, since it uses less digits than its factorization.

67564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

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

The square root of 67564 is about 259.9307600112. The cubic root of 67564 is about 40.7291285342.

The spelling of 67564 in words is "sixty-seven thousand, five hundred sixty-four".