90205764 has 24 divisors (see below), whose sum is σ = 229615008. Its totient is φ = 27335040.

The previous prime is 90205729. The next prime is 90205783. The reversal of 90205764 is 46750209.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 341557 + ... + 341820.

It is an arithmetic number, because the mean of its divisors is an integer number (9567292).

Almost surely, 2^90205764 is an apocalyptic number.

It is an amenable number.

90205764 is an abundant number, since it is smaller than the sum of its proper divisors (139409244).

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

90205764 is a wasteful number, since it uses less digits than its factorization.

90205764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683395 (or 683393 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 90205764 is about 9497.6715041109. The cubic root of 90205764 is about 448.4817375914.

The spelling of 90205764 in words is "ninety million, two hundred five thousand, seven hundred sixty-four".