67554 has 24 divisors (see below), whose sum is σ = 152880. Its totient is φ = 22356.

The previous prime is 67547. The next prime is 67559. The reversal of 67554 is 45576.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67554.

It is not an unprimeable number, because it can be changed into a prime (67559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2⁶⁷⁵⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

67554 is an abundant number, since it is smaller than the sum of its proper divisors (85326).

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

67554 is a wasteful number, since it uses less digits than its factorization.

67554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 67554 is about 259.9115234075. The cubic root of 67554 is about 40.7271190253.

It can be divided in two parts, 675 and 54, that added together give a 6-th power (729 = 3⁶).

The spelling of 67554 in words is "sixty-seven thousand, five hundred fifty-four".