90348 has 12 divisors (see below), whose sum is σ = 210840. Its totient is φ = 30112.

The previous prime is 90313. The next prime is 90353. The reversal of 90348 is 84309.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×90348² = 16325522208, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90348.

It is an unprimeable number.

90348 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 3 ways as a sum of consecutive naturals, for example, 3753 + ... + 3776.

It is an arithmetic number, because the mean of its divisors is an integer number (17570).

2⁹⁰³⁴⁸ is an apocalyptic number.

It is an amenable number.

90348 is an abundant number, since it is smaller than the sum of its proper divisors (120492).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105420).

90348 is a wasteful number, since it uses less digits than its factorization.

90348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90348 is about 300.5794404147. The cubic root of 90348 is about 44.8717335063.

The spelling of 90348 in words is "ninety thousand, three hundred forty-eight".