90414 has 12 divisors (see below), whose sum is σ = 195936. Its totient is φ = 30132.

The previous prime is 90407. The next prime is 90437. The reversal of 90414 is 41409.

90414 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5023 = 90414 / (9 + 0 + 4 + 1 + 4).

It is a congruent number.

It is an unprimeable number.

90414 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 5 ways as a sum of consecutive naturals, for example, 2494 + ... + 2529.

It is an arithmetic number, because the mean of its divisors is an integer number (16328).

2⁹⁰⁴¹⁴ is an apocalyptic number.

90414 is an abundant number, since it is smaller than the sum of its proper divisors (105522).

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

90414 is a wasteful number, since it uses less digits than its factorization.

90414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90414 is about 300.6892083198. The cubic root of 90414 is about 44.8826572440.

It can be divided in two parts, 9041 and 4, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 90414 in words is "ninety thousand, four hundred fourteen".