90782240 has 24 divisors (see below), whose sum is σ = 214473420. Its totient is φ = 36312832.

The previous prime is 90782189. The next prime is 90782281. The reversal of 90782240 is 4228709.

It can be written as a sum of positive squares in 2 ways, for example, as 88435216 + 2347024 = 9404^2 + 1532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 90782197 and 90782206.

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 3 ways as a sum of consecutive naturals, for example, 283535 + ... + 283854.

Almost surely, 2^90782240 is an apocalyptic number.

It is an amenable number.

90782240 is an abundant number, since it is smaller than the sum of its proper divisors (123691180).

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

90782240 is a wasteful number, since it uses less digits than its factorization.

90782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567404 (or 567396 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 90782240 is about 9527.9714525181. The cubic root of 90782240 is about 449.4350771097.

The spelling of 90782240 in words is "ninety million, seven hundred eighty-two thousand, two hundred forty".