66462 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 18720.

The previous prime is 66457. The next prime is 66463. The reversal of 66462 is 26466.

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66462.

It is not an unprimeable number, because it can be changed into a prime (66463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁶⁶⁴⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

66462 is an abundant number, since it is smaller than the sum of its proper divisors (89058).

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

66462 is a wasteful number, since it uses less digits than its factorization.

66462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 1728, while the sum is 24.

The square root of 66462 is about 257.8022497962. The cubic root of 66462 is about 40.5064766353.

It can be divided in two parts, 66 and 462, that added together give a triangular number (528 = T₃₂).

The spelling of 66462 in words is "sixty-six thousand, four hundred sixty-two".