90804291840 has 360 divisors, whose sum is σ = 328300350840. Its totient is φ = 23962189824.

The previous prime is 90804291839. The next prime is 90804291841. The reversal of 90804291840 is 4819240809.

It is an interprime number because it is at equal distance from previous prime (90804291839) and next prime (90804291841).

It can be written as a sum of positive squares in 4 ways, for example, as 34828517376 + 55975774464 = 186624^2 + 236592^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90804291841) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10052446 + ... + 10061474.

It is an arithmetic number, because the mean of its divisors is an integer number (911945419).

Almost surely, 2^90804291840 is an apocalyptic number.

90804291840 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 90804291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164150175420).

90804291840 is an abundant number, since it is smaller than the sum of its proper divisors (237496059000).

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

90804291840 is an equidigital number, since it uses as much as digits as its factorization.

90804291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 90804291840 in words is "ninety billion, eight hundred four million, two hundred ninety-one thousand, eight hundred forty".