90005760 has 216 divisors, whose sum is σ = 335923224. Its totient is φ = 22118400.

The previous prime is 90005759. The next prime is 90005771. The reversal of 90005760 is 6750009.

90005760 is a `hidden beast` number, since 90 + 0 + 0 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 81432576 = 2928^2 + 9024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149460 + ... + 150060.

Almost surely, 2^90005760 is an apocalyptic number.

90005760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961612).

90005760 is an abundant number, since it is smaller than the sum of its proper divisors (245917464).

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

90005760 is a wasteful number, since it uses less digits than its factorization.

90005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90005760 is about 9487.1365543034. The cubic root of 90005760 is about 448.1500347819.

Adding to 90005760 its reverse (6750009), we get a palindrome (96755769).

It can be divided in two parts, 9000 and 5760, that multiplied together give a square (51840000 = 7200²).

The spelling of 90005760 in words is "ninety million, five thousand, seven hundred sixty".