40624 has 10 divisors (see below), whose sum is σ = 78740. Its totient is φ = 20304.

The previous prime is 40609. The next prime is 40627. The reversal of 40624 is 42604.

40624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 2539 = 40624 / (4 + 0 + 6 + 2 + 4).

It is a d-powerful number, because it can be written as 4² + 0 + 6⁵ + 2¹⁵ + 4³ .

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 40598 and 40607.

It is not an unprimeable number, because it can be changed into a prime (40627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254 + ... + 1285.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2⁴⁰⁶²⁴ is an apocalyptic number.

It is an amenable number.

40624 is a deficient number, since it is larger than the sum of its proper divisors (38116).

40624 is a wasteful number, since it uses less digits than its factorization.

40624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40624 is about 201.5539629975. The cubic root of 40624 is about 34.3764396091.

The spelling of 40624 in words is "forty thousand, six hundred twenty-four".