90034176 has 104 divisors (see below), whose sum is σ = 254772864. Its totient is φ = 28180480.

The previous prime is 90034171. The next prime is 90034181. The reversal of 90034176 is 67143009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90034171) and next prime (90034181).

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90034171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208681 + ... + 209111.

Almost surely, 2^90034176 is an apocalyptic number.

90034176 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 90034176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127386432).

90034176 is an abundant number, since it is smaller than the sum of its proper divisors (164738688).

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

90034176 is a wasteful number, since it uses less digits than its factorization.

90034176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 90034176 is about 9488.6340428957. The cubic root of 90034176 is about 448.1971921026.

The spelling of 90034176 in words is "ninety million, thirty-four thousand, one hundred seventy-six".