90706982976 has 315 divisors, whose sum is σ = 277848068509. Its totient is φ = 29259850752.

The previous prime is 90706982959. The next prime is 90706982983. The reversal of 90706982976 is 67928960709.

The square root of 90706982976 is 301176.

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., 17417664576 + 73289318400 = 131976^2 + 270720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1019179540 + ... + 1019179628.

Almost surely, 2^90706982976 is an apocalyptic number.

90706982976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90706982976 is the 301176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90706982976

90706982976 is an abundant number, since it is smaller than the sum of its proper divisors (187141085533).

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

90706982976 is an frugal number, since it uses more digits than its factorization.

90706982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 90706982976 in words is "ninety billion, seven hundred six million, nine hundred eighty-two thousand, nine hundred seventy-six".