90155680 has 96 divisors (see below), whose sum is σ = 222412176. Its totient is φ = 34504704.

The previous prime is 90155647. The next prime is 90155687. The reversal of 90155680 is 8655109.

It can be written as a sum of positive squares in 8 ways, for example, as 47279376 + 42876304 = 6876^2 + 6548^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (90155687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574162 + ... + 574318.

Almost surely, 2^90155680 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 90155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111206088).

90155680 is an abundant number, since it is smaller than the sum of its proper divisors (132256496).

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

90155680 is a wasteful number, since it uses less digits than its factorization.

90155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 90155680 is about 9495.0344917752. The cubic root of 90155680 is about 448.3987202885.

The spelling of 90155680 in words is "ninety million, one hundred fifty-five thousand, six hundred eighty".