90174 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 24192.

The previous prime is 90173. The next prime is 90187. The reversal of 90174 is 47109.

90174 = T₁₅₇ + T₁₅₈ + ... + T₁₆₃.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 90174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁹⁰¹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

90174 is an abundant number, since it is smaller than the sum of its proper divisors (128706).

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

90174 is a wasteful number, since it uses less digits than its factorization.

90174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 90174 is about 300.2898599687. The cubic root of 90174 is about 44.8429090378.

The spelling of 90174 in words is "ninety thousand, one hundred seventy-four".