40512 has 28 divisors (see below), whose sum is σ = 107696. Its totient is φ = 13440.

The previous prime is 40507. The next prime is 40519. The reversal of 40512 is 21504.

40512 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (40519) by changing a digit.

40512 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 3 ways as a sum of consecutive naturals, for example, 87 + ... + 297.

2⁴⁰⁵¹² 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 40512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53848).

40512 is an abundant number, since it is smaller than the sum of its proper divisors (67184).

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

40512 is a wasteful number, since it uses less digits than its factorization.

40512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 40512 is about 201.2759300065. The cubic root of 40512 is about 34.3448186876.

The spelling of 40512 in words is "forty thousand, five hundred twelve".