52821600 has 144 divisors (see below), whose sum is σ = 185269392. Its totient is φ = 12994560.

The previous prime is 52821581. The next prime is 52821611. The reversal of 52821600 is 612825.

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

It is a congruent number.

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, 30354 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (1286593).

Almost surely, 2^52821600 is an apocalyptic number.

52821600 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 52821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92634696).

52821600 is an abundant number, since it is smaller than the sum of its proper divisors (132447792).

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

52821600 is a wasteful number, since it uses less digits than its factorization.

52821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 52821600 is about 7267.8469989399. The cubic root of 52821600 is about 375.2066416659.

The spelling of 52821600 in words is "fifty-two million, eight hundred twenty-one thousand, six hundred".