90342 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 25704.

The previous prime is 90313. The next prime is 90353. The reversal of 90342 is 24309.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁹⁰³⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

90342 is an abundant number, since it is smaller than the sum of its proper divisors (140058).

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

90342 is a wasteful number, since it uses less digits than its factorization.

90342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90342 is about 300.5694595264. The cubic root of 90342 is about 44.8707401755.

The spelling of 90342 in words is "ninety thousand, three hundred forty-two".