90788 has 6 divisors (see below), whose sum is σ = 158886. Its totient is φ = 45392.

The previous prime is 90787. The next prime is 90793. The reversal of 90788 is 88709.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 43264 = 218^2 + 208^2 .

It is not an unprimeable number, because it can be changed into a prime (90787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11345 + ... + 11352.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2⁹⁰⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

90788 is a deficient number, since it is larger than the sum of its proper divisors (68098).

90788 is a wasteful number, since it uses less digits than its factorization.

90788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22699 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 90788 is about 301.3104711091. The cubic root of 90788 is about 44.9444582241.

It can be divided in two parts, 90 and 788, that added together give a palindrome (878).

The spelling of 90788 in words is "ninety thousand, seven hundred eighty-eight".