90698880 has 128 divisors (see below), whose sum is σ = 292682880. Its totient is φ = 23887872.

The previous prime is 90698843. The next prime is 90698891. The reversal of 90698880 is 8889609.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 185997 + ... + 186483.

It is an arithmetic number, because the mean of its divisors is an integer number (2286585).

Almost surely, 2^90698880 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 90698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146341440).

90698880 is an abundant number, since it is smaller than the sum of its proper divisors (201984000).

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

90698880 is a wasteful number, since it uses less digits than its factorization.

90698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 90698880 is about 9523.5959595103. The cubic root of 90698880 is about 449.2974717031.

The spelling of 90698880 in words is "ninety million, six hundred ninety-eight thousand, eight hundred eighty".