253620 has 36 divisors (see below), whose sum is σ = 769860. Its totient is φ = 67584.

The previous prime is 253613. The next prime is 253633. The reversal of 253620 is 26352.

253620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 219024 = 186^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253593 and 253602.

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 253620.

It is an unprimeable number.

253620 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 11 ways as a sum of consecutive naturals, for example, 525 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (21385).

2²⁵³⁶²⁰ is an apocalyptic number.

253620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253620 is an abundant number, since it is smaller than the sum of its proper divisors (516240).

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

253620 is a wasteful number, since it uses less digits than its factorization.

253620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253620 is about 503.6069896258. The cubic root of 253620 is about 63.2986575339.

Adding to 253620 its reverse (26352), we get a palindrome (279972).

It can be divided in two parts, 2536 and 20, that added together give a triangular number (2556 = T₇₁).

The spelling of 253620 in words is "two hundred fifty-three thousand, six hundred twenty".