5208000 has 224 divisors, whose sum is σ = 20287488. Its totient is φ = 1152000.

The previous prime is 5207981. The next prime is 5208041. The reversal of 5208000 is 8025.

5208000 = T₃₇₁ + T₃₇₂ + ... + T₄₃₄.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167985 + ... + 168015.

Almost surely, 2^5208000 is an apocalyptic number.

5208000 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 5208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143744).

5208000 is an abundant number, since it is smaller than the sum of its proper divisors (15079488).

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

5208000 is a wasteful number, since it uses less digits than its factorization.

5208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5208000 is about 2282.1042920953. The cubic root of 5208000 is about 173.3366205820.

The spelling of 5208000 in words is "five million, two hundred eight thousand".