90658440 has 112 divisors (see below), whose sum is σ = 305930700. Its totient is φ = 24167808.

The previous prime is 90658423. The next prime is 90658453. The reversal of 90658440 is 4485609.

It can be written as a sum of positive squares in 2 ways, for example, as 85266756 + 5391684 = 9234^2 + 2322^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90658395 and 90658404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27606 + ... + 30714.

Almost surely, 2^90658440 is an apocalyptic number.

90658440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90658440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152965350).

90658440 is an abundant number, since it is smaller than the sum of its proper divisors (215272260).

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

90658440 is a wasteful number, since it uses less digits than its factorization.

90658440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90658440 is about 9521.4725751850. The cubic root of 90658440 is about 449.2306855390.

The spelling of 90658440 in words is "ninety million, six hundred fifty-eight thousand, four hundred forty".