90801648 has 100 divisors (see below), whose sum is σ = 300380080. Its totient is φ = 25940736.

The previous prime is 90801647. The next prime is 90801653. The reversal of 90801648 is 84610809.

It is a happy number.

90801648 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 1 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90801647) 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 19 ways as a sum of consecutive naturals, for example, 4068 + ... + 14076.

Almost surely, 2^90801648 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 90801648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150190040).

90801648 is an abundant number, since it is smaller than the sum of its proper divisors (209578432).

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

90801648 is a wasteful number, since it uses less digits than its factorization.

90801648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90801648 is about 9528.9898730138. The cubic root of 90801648 is about 449.4671025164.

The spelling of 90801648 in words is "ninety million, eight hundred one thousand, six hundred forty-eight".