40386560 has 120 divisors (see below), whose sum is σ = 106165080. Its totient is φ = 14680064.

The previous prime is 40386557. The next prime is 40386569. The reversal of 40386560 is 6568304.

It can be written as a sum of positive squares in 4 ways, for example, as 8667136 + 31719424 = 2944^2 + 5632^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40386569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392626 + ... + 1392654.

It is an arithmetic number, because the mean of its divisors is an integer number (884709).

Almost surely, 2^40386560 is an apocalyptic number.

40386560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53082540).

40386560 is an abundant number, since it is smaller than the sum of its proper divisors (65778520).

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

40386560 is an equidigital number, since it uses as much as digits as its factorization.

40386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 40386560 is about 6355.0420927009. The cubic root of 40386560 is about 343.0933398901.

The spelling of 40386560 in words is "forty million, three hundred eighty-six thousand, five hundred sixty".