90258960 has 160 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 21644800.

The previous prime is 90258937. The next prime is 90258977. The reversal of 90258960 is 6985209.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472465 + ... + 472655.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 2^90258960 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 90258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

90258960 is an abundant number, since it is smaller than the sum of its proper divisors (218292720).

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

90258960 is a wasteful number, since it uses less digits than its factorization.

90258960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 90258960 is about 9500.4715672434. The cubic root of 90258960 is about 448.5698795802.

The spelling of 90258960 in words is "ninety million, two hundred fifty-eight thousand, nine hundred sixty".