67740 has 24 divisors (see below), whose sum is σ = 189840. Its totient is φ = 18048.

The previous prime is 67733. The next prime is 67741. The reversal of 67740 is 4776.

67740 = 20² + 21² + ... + 59².

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 67740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67741) 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, 505 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (7910).

2⁶⁷⁷⁴⁰ is an apocalyptic number.

67740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67740 is an abundant number, since it is smaller than the sum of its proper divisors (122100).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94920).

67740 is a wasteful number, since it uses less digits than its factorization.

67740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 67740 is about 260.2690915188. The cubic root of 67740 is about 40.7644634821.

Subtracting from 67740 its product of nonzero digits (1176), we obtain a square (66564 = 258²).

It can be divided in two parts, 677 and 40, that added together give a palindrome (717).

The spelling of 67740 in words is "sixty-seven thousand, seven hundred forty".