5380200 has 216 divisors, whose sum is σ = 21363030. Its totient is φ = 1209600.

The previous prime is 5380187. The next prime is 5380213. The reversal of 5380200 is 20835.

It is an interprime number because it is at equal distance from previous prime (5380187) and next prime (5380213).

It can be written as a sum of positive squares in 3 ways, for example, as 2414916 + 2965284 = 1554^2 + 1722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88170 + ... + 88230.

Almost surely, 2^5380200 is an apocalyptic number.

5380200 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 5380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681515).

5380200 is an abundant number, since it is smaller than the sum of its proper divisors (15982830).

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

5380200 is a wasteful number, since it uses less digits than its factorization.

5380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5380200 is about 2319.5258136093. The cubic root of 5380200 is about 175.2263737115.

The spelling of 5380200 in words is "five million, three hundred eighty thousand, two hundred".