90704000 has 64 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 36275200.

The previous prime is 90703981. The next prime is 90704051. The reversal of 90704000 is 40709.

It can be written as a sum of positive squares in 4 ways, for example, as 16192576 + 74511424 = 4024^2 + 8632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 13166 + ... + 18834.

Almost surely, 2^90704000 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 90704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

90704000 is an abundant number, since it is smaller than the sum of its proper divisors (134848600).

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

90704000 is an equidigital number, since it uses as much as digits as its factorization.

90704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 90704000 is about 9523.8647617446. The cubic root of 90704000 is about 449.3059259044.

Adding to 90704000 its reverse (40709), we get a palindrome (90744709).

The spelling of 90704000 in words is "ninety million, seven hundred four thousand".