653200 has 60 divisors (see below), whose sum is σ = 1660608. Its totient is φ = 246400.

The previous prime is 653197. The next prime is 653203. The reversal of 653200 is 2356.

653200 = T₁₄₅ + T₁₄₆ + ... + T₁₉₀.

It is an interprime number because it is at equal distance from previous prime (653197) and next prime (653203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9165 + ... + 9235.

2⁶⁵³²⁰⁰ 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 653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304).

653200 is an abundant number, since it is smaller than the sum of its proper divisors (1007408).

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

653200 is a wasteful number, since it uses less digits than its factorization.

653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 653200 is about 808.2078940471. The cubic root of 653200 is about 86.7658299532.

Adding to 653200 its reverse (2356), we get a palindrome (655556).

The spelling of 653200 in words is "six hundred fifty-three thousand, two hundred".