90406848 has 112 divisors (see below), whose sum is σ = 275929344. Its totient is φ = 25589760.

The previous prime is 90406847. The next prime is 90406853. The reversal of 90406848 is 84860409.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90406843) 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, 183883 + ... + 184373.

Almost surely, 2^90406848 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 90406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137964672).

90406848 is an abundant number, since it is smaller than the sum of its proper divisors (185522496).

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

90406848 is a wasteful number, since it uses less digits than its factorization.

90406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 90406848 is about 9508.2515742906. The cubic root of 90406848 is about 448.8147376492.

The spelling of 90406848 in words is "ninety million, four hundred six thousand, eight hundred forty-eight".