253890 has 96 divisors (see below), whose sum is σ = 838656. Its totient is φ = 51840.

The previous prime is 253879. The next prime is 253901. The reversal of 253890 is 98352.

It is an interprime number because it is at equal distance from previous prime (253879) and next prime (253901).

It is a Curzon number.

It is an unprimeable number.

253890 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 47 ways as a sum of consecutive naturals, for example, 8175 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2²⁵³⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

253890 is an abundant number, since it is smaller than the sum of its proper divisors (584766).

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

253890 is a wasteful number, since it uses less digits than its factorization.

253890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253890 is about 503.8749844952. The cubic root of 253890 is about 63.3211118307.

It can be divided in two parts, 2538 and 90, that added together give a triangular number (2628 = T₇₂).

The spelling of 253890 in words is "two hundred fifty-three thousand, eight hundred ninety".