5605040 has 40 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 1921536.

The previous prime is 5605037. The next prime is 5605043. The reversal of 5605040 is 405065.

It is an interprime number because it is at equal distance from previous prime (5605037) and next prime (5605043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

5605040 is a modest number, since divided by 5040 gives 560 as remainder.

It is not an unprimeable number, because it can be changed into a prime (5605043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4445 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^5605040 is an apocalyptic number.

It is an amenable number.

5605040 is an abundant number, since it is smaller than the sum of its proper divisors (9289840).

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

5605040 is a wasteful number, since it uses less digits than its factorization.

5605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5605040 is about 2367.4965681073. The cubic root of 5605040 is about 177.6340586143.

It can be divided in two parts, 560 and 5040, that multiplied together give a square (2822400 = 1680²).

The spelling of 5605040 in words is "five million, six hundred five thousand, forty".