52090800 has 120 divisors (see below), whose sum is σ = 169197504. Its totient is φ = 13697280.

The previous prime is 52090789. The next prime is 52090811. The reversal of 52090800 is 809025.

It is an interprime number because it is at equal distance from previous prime (52090789) and next prime (52090811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99339 + ... + 99861.

Almost surely, 2^52090800 is an apocalyptic number.

52090800 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 52090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84598752).

52090800 is an abundant number, since it is smaller than the sum of its proper divisors (117106704).

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

52090800 is a wasteful number, since it uses less digits than its factorization.

52090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 52090800 is about 7217.3956521726. The cubic root of 52090800 is about 373.4682406433.

Adding to 52090800 its reverse (809025), we get a palindrome (52899825).

The spelling of 52090800 in words is "fifty-two million, ninety thousand, eight hundred".