90155268 has 120 divisors (see below), whose sum is σ = 272340992. Its totient is φ = 25474176.

The previous prime is 90155257. The next prime is 90155291. The reversal of 90155268 is 86255109.

It is a happy number.

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

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 39 ways as a sum of consecutive naturals, for example, 287880 + ... + 288192.

Almost surely, 2^90155268 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 90155268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136170496).

90155268 is an abundant number, since it is smaller than the sum of its proper divisors (182185724).

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

90155268 is a wasteful number, since it uses less digits than its factorization.

90155268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 90155268 is about 9495.0127961999. The cubic root of 90155268 is about 448.3980372458.

It can be divided in two parts, 901 and 55268, that added together give a square (56169 = 237²).

The spelling of 90155268 in words is "ninety million, one hundred fifty-five thousand, two hundred sixty-eight".