90589392 has 60 divisors (see below), whose sum is σ = 257705604. Its totient is φ = 29698560.

The previous prime is 90589381. The next prime is 90589439. The reversal of 90589392 is 29398509.

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 74235456 = 4044^2 + 8616^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3628 + ... + 13940.

Almost surely, 2^90589392 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 90589392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128852802).

90589392 is an abundant number, since it is smaller than the sum of its proper divisors (167116212).

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

90589392 is a wasteful number, since it uses less digits than its factorization.

90589392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 90589392 is about 9517.8459747991. The cubic root of 90589392 is about 449.1166076934.

The spelling of 90589392 in words is "ninety million, five hundred eighty-nine thousand, three hundred ninety-two".