90273807936 has 441 divisors, whose sum is σ = 293575687041. Its totient is φ = 27516962304.

The previous prime is 90273807907. The next prime is 90273807947. The reversal of 90273807936 is 63970837209.

The square root of 90273807936 is 300456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13354113600 + 76919694336 = 115560^2 + 277344^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 843680395 + ... + 843680501.

Almost surely, 2^90273807936 is an apocalyptic number.

90273807936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90273807936 is the 300456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90273807936

90273807936 is an abundant number, since it is smaller than the sum of its proper divisors (203301879105).

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

90273807936 is an equidigital number, since it uses as much as digits as its factorization.

90273807936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 90273807936 in words is "ninety billion, two hundred seventy-three million, eight hundred seven thousand, nine hundred thirty-six".