52696800 has 216 divisors, whose sum is σ = 200471544. Its totient is φ = 12948480.

The previous prime is 52696789. The next prime is 52696817. The reversal of 52696800 is 869625.

Added to its reverse (869625) it gives a triangular number (53566425 = T₁₀₃₅₀).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93319 + ... + 93881.

It is an arithmetic number, because the mean of its divisors is an integer number (928109).

Almost surely, 2^52696800 is an apocalyptic number.

52696800 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 52696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100235772).

52696800 is an abundant number, since it is smaller than the sum of its proper divisors (147774744).

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

52696800 is a wasteful number, since it uses less digits than its factorization.

52696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 52696800 is about 7259.2561602412. The cubic root of 52696800 is about 374.9109121706.

Adding to 52696800 its reverse (869625), we get a triangular number (53566425 = T₁₀₃₅₀).

The spelling of 52696800 in words is "fifty-two million, six hundred ninety-six thousand, eight hundred".