90349408 has 48 divisors (see below), whose sum is σ = 188501040. Its totient is φ = 42508800.

The previous prime is 90349403. The next prime is 90349411. The reversal of 90349408 is 80494309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90349403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109638 + ... + 110458.

It is an arithmetic number, because the mean of its divisors is an integer number (3927105).

Almost surely, 2^90349408 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 90349408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94250520).

90349408 is an abundant number, since it is smaller than the sum of its proper divisors (98151632).

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

90349408 is a wasteful number, since it uses less digits than its factorization.

90349408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 90349408 is about 9505.2305600653. The cubic root of 90349408 is about 448.7196660155.

The spelling of 90349408 in words is "ninety million, three hundred forty-nine thousand, four hundred eight".