5587400 has 96 divisors (see below), whose sum is σ = 16040640. Its totient is φ = 1762560.

The previous prime is 5587397. The next prime is 5587403. The reversal of 5587400 is 47855.

It is an interprime number because it is at equal distance from previous prime (5587397) and next prime (5587403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5587403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18047 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (167090).

Almost surely, 2^5587400 is an apocalyptic number.

5587400 is a gapful number since it is divisible by the number (50) 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 5587400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020320).

5587400 is an abundant number, since it is smaller than the sum of its proper divisors (10453240).

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

5587400 is a wasteful number, since it uses less digits than its factorization.

5587400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 5587400 is about 2363.7681781427. The cubic root of 5587400 is about 177.4475147340.

The spelling of 5587400 in words is "five million, five hundred eighty-seven thousand, four hundred".