63492 has 48 divisors (see below), whose sum is σ = 178752. Its totient is φ = 17280.

The previous prime is 63487. The next prime is 63493. The reversal of 63492 is 29436.

It is a super-3 number, since 3×63492³ = 767853339574464, which contains 333 as substring.

It is a d-powerful number, because it can be written as 6⁶ + 3⁵ + 4⁷ + 9² + 2⁷ .

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

It is not an unprimeable number, because it can be changed into a prime (63493) by changing a digit.

63492 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 15 ways as a sum of consecutive naturals, for example, 1698 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2⁶³⁴⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

63492 is an abundant number, since it is smaller than the sum of its proper divisors (115260).

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

63492 is a wasteful number, since it uses less digits than its factorization.

63492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 63492 is about 251.9761893513. The cubic root of 63492 is about 39.8938854079.

It can be divided in two parts, 63 and 492, that added together give a palindrome (555).

The spelling of 63492 in words is "sixty-three thousand, four hundred ninety-two".