90480896 has 108 divisors (see below), whose sum is σ = 208782336. Its totient is φ = 39029760.

The previous prime is 90480893. The next prime is 90480917. The reversal of 90480896 is 69808409.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (90480893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712385 + ... + 712511.

Almost surely, 2^90480896 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 90480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104391168).

90480896 is an abundant number, since it is smaller than the sum of its proper divisors (118301440).

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

90480896 is a wasteful number, since it uses less digits than its factorization.

90480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 90480896 is about 9512.1446582776. The cubic root of 90480896 is about 448.9372385627.

The spelling of 90480896 in words is "ninety million, four hundred eighty thousand, eight hundred ninety-six".