52066800 has 150 divisors (see below), whose sum is σ = 186979848. Its totient is φ = 13875840.

The previous prime is 52066789. The next prime is 52066823. The reversal of 52066800 is 866025.

52066800 is a `hidden beast` number, since 520 + 66 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31597 + ... + 33203.

Almost surely, 2^52066800 is an apocalyptic number.

52066800 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 52066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93489924).

52066800 is an abundant number, since it is smaller than the sum of its proper divisors (134913048).

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

52066800 is a wasteful number, since it uses less digits than its factorization.

52066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52066800 is about 7215.7328110179. The cubic root of 52066800 is about 373.4108753332.

The spelling of 52066800 in words is "fifty-two million, sixty-six thousand, eight hundred".