90349632 has 84 divisors (see below), whose sum is σ = 260488176. Its totient is φ = 29940480.

The previous prime is 90349627. The next prime is 90349661. The reversal of 90349632 is 23694309.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130407 + ... + 131097.

Almost surely, 2^90349632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130244088).

90349632 is an abundant number, since it is smaller than the sum of its proper divisors (170138544).

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

90349632 is a wasteful number, since it uses less digits than its factorization.

90349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 90349632 is about 9505.2423430442. The cubic root of 90349632 is about 448.7200368466.

The spelling of 90349632 in words is "ninety million, three hundred forty-nine thousand, six hundred thirty-two".