253650 has 48 divisors (see below), whose sum is σ = 669600. Its totient is φ = 63360.

The previous prime is 253639. The next prime is 253651. The reversal of 253650 is 56352.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253650.

It is not an unprimeable number, because it can be changed into a prime (253651) by changing a digit.

253650 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806 + ... + 2894.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2²⁵³⁶⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

253650 is an abundant number, since it is smaller than the sum of its proper divisors (415950).

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

253650 is a wasteful number, since it uses less digits than its factorization.

253650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253650 is about 503.6367738758. The cubic root of 253650 is about 63.3011532425.

It can be divided in two parts, 253 and 650, that added together give a triangular number (903 = T₄₂).

The spelling of 253650 in words is "two hundred fifty-three thousand, six hundred fifty".