5084640 has 192 divisors, whose sum is σ = 19595520. Its totient is φ = 1221120.

The previous prime is 5084627. The next prime is 5084641. The reversal of 5084640 is 464805.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47467 + ... + 47573.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 2^5084640 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 5084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

5084640 is an abundant number, since it is smaller than the sum of its proper divisors (14510880).

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

5084640 is a wasteful number, since it uses less digits than its factorization.

5084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5084640 is about 2254.9146325305. The cubic root of 5084640 is about 171.9570832171.

The spelling of 5084640 in words is "five million, eighty-four thousand, six hundred forty".