67950 has 36 divisors (see below), whose sum is σ = 183768. Its totient is φ = 18000.

The previous prime is 67943. The next prime is 67957. The reversal of 67950 is 5976.

It is an interprime number because it is at equal distance from previous prime (67943) and next prime (67957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67957) by changing a digit.

67950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 375 + ... + 525.

67950 is a Friedman number, since it can be written as 906*75, using all its digits and the basic arithmetic operations.

2⁶⁷⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91884).

67950 is an abundant number, since it is smaller than the sum of its proper divisors (115818).

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

67950 is a wasteful number, since it uses less digits than its factorization.

67950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 67950 is about 260.6722079547. The cubic root of 67950 is about 40.8065445096.

It can be divided in two parts, 679 and 50, that added together give a 6-th power (729 = 3⁶).

The spelling of 67950 in words is "sixty-seven thousand, nine hundred fifty".