90266544 has 120 divisors (see below), whose sum is σ = 265296512. Its totient is φ = 28615680.

The previous prime is 90266537. The next prime is 90266557. The reversal of 90266544 is 44566209.

90266544 is a `hidden beast` number, since 90 + 26 + 6 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90266499 and 90266508.

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 23 ways as a sum of consecutive naturals, for example, 325734 + ... + 326010.

Almost surely, 2^90266544 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 90266544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132648256).

90266544 is an abundant number, since it is smaller than the sum of its proper divisors (175029968).

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

90266544 is a wasteful number, since it uses less digits than its factorization.

90266544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 90266544 is about 9500.8706969414. The cubic root of 90266544 is about 448.5824429080.

The spelling of 90266544 in words is "ninety million, two hundred sixty-six thousand, five hundred forty-four".