52697600 has 120 divisors (see below), whose sum is σ = 137000160. Its totient is φ = 20049920.

The previous prime is 52697599. The next prime is 52697609. The reversal of 52697600 is 679625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52697609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294311 + ... + 294489.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^52697600 is an apocalyptic number.

52697600 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 52697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68500080).

52697600 is an abundant number, since it is smaller than the sum of its proper divisors (84302560).

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

52697600 is a wasteful number, since it uses less digits than its factorization.

52697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 52697600 is about 7259.3112620964. The cubic root of 52697600 is about 374.9128093586.

The spelling of 52697600 in words is "fifty-two million, six hundred ninety-seven thousand, six hundred".