67896 has 48 divisors (see below), whose sum is σ = 196560. Its totient is φ = 21120.

The previous prime is 67891. The next prime is 67901. The reversal of 67896 is 69876.

67896 is a nontrivial binomial coefficient, being equal to C(369, 2).

It is an interprime number because it is at equal distance from previous prime (67891) and next prime (67901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6³ + 7³ + 8³ + 9⁵ + 6⁵ .

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 67896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67891) 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, 1636 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁶⁷⁸⁹⁶ is an apocalyptic number.

67896 is the 368-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

67896 is an abundant number, since it is smaller than the sum of its proper divisors (128664).

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

67896 is a wasteful number, since it uses less digits than its factorization.

67896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 69 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 67896 is about 260.5686090073. The cubic root of 67896 is about 40.7957319642.

The spelling of 67896 in words is "sixty-seven thousand, eight hundred ninety-six".