5640624 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1707840.

The previous prime is 5640623. The next prime is 5640629. The reversal of 5640624 is 4260465.

It is a happy number.

It is a Cunningham number, because it is equal to 2375²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5640623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4159 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^5640624 is an apocalyptic number.

5640624 is a gapful number since it is divisible by the number (54) 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 5640624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5640624 is an abundant number, since it is smaller than the sum of its proper divisors (12036816).

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

5640624 is a wasteful number, since it uses less digits than its factorization.

5640624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5640624 is about 2374.9997894737. Note that the first 3 decimals coincide. The cubic root of 5640624 is about 178.0091734531.

The spelling of 5640624 in words is "five million, six hundred forty thousand, six hundred twenty-four".