9052800 has 192 divisors, whose sum is σ = 31872960. Its totient is φ = 2252800.

The previous prime is 9052787. The next prime is 9052801. The reversal of 9052800 is 82509.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (9052801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220780 + ... + 220820.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^9052800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

9052800 is an abundant number, since it is smaller than the sum of its proper divisors (22820160).

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

9052800 is a wasteful number, since it uses less digits than its factorization.

9052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 9052800 is about 3008.7871310546. The cubic root of 9052800 is about 208.4143613702.

The spelling of 9052800 in words is "nine million, fifty-two thousand, eight hundred".