90238176 has 144 divisors (see below), whose sum is σ = 310643424. Its totient is φ = 24256512.

The previous prime is 90238151. The next prime is 90238217. The reversal of 90238176 is 67183209.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90238176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32956 + ... + 35588.

It is an arithmetic number, because the mean of its divisors is an integer number (2157246).

Almost surely, 2^90238176 is an apocalyptic number.

90238176 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90238176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155321712).

90238176 is an abundant number, since it is smaller than the sum of its proper divisors (220405248).

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

90238176 is a wasteful number, since it uses less digits than its factorization.

90238176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90238176 is about 9499.3776638262. The cubic root of 90238176 is about 448.5354460936.

The spelling of 90238176 in words is "ninety million, two hundred thirty-eight thousand, one hundred seventy-six".