90255627 has 80 divisors (see below), whose sum is σ = 174240000. Its totient is φ = 45178560.

The previous prime is 90255623. The next prime is 90255629. The reversal of 90255627 is 72655209.

90255627 is a `hidden beast` number, since 9 + 0 + 25 + 5 + 627 = 666.

It is not a de Polignac number, because 90255627 - 2² = 90255623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90255591 and 90255600.

It is not an unprimeable number, because it can be changed into a prime (90255623) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 180624 + ... + 181122.

It is an arithmetic number, because the mean of its divisors is an integer number (2178000).

Almost surely, 2^90255627 is an apocalyptic number.

90255627 is a deficient number, since it is larger than the sum of its proper divisors (83984373).

90255627 is a wasteful number, since it uses less digits than its factorization.

90255627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 90255627 is about 9500.2961532786. The cubic root of 90255627 is about 448.5643580534.

The spelling of 90255627 in words is "ninety million, two hundred fifty-five thousand, six hundred twenty-seven".