52197600 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 10967040.

The previous prime is 52197577. The next prime is 52197601. The reversal of 52197600 is 679125.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52197601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218281 + ... + 218519.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^52197600 is an apocalyptic number.

52197600 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 52197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

52197600 is an abundant number, since it is smaller than the sum of its proper divisors (157788960).

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

52197600 is a wasteful number, since it uses less digits than its factorization.

52197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 52197600 is about 7224.7906544065. The cubic root of 52197600 is about 373.7233028286.

The spelling of 52197600 in words is "fifty-two million, one hundred ninety-seven thousand, six hundred".