90830647296 has 364 divisors, whose sum is σ = 286846526520. Its totient is φ = 28665446400.

The previous prime is 90830647279. The next prime is 90830647309. The reversal of 90830647296 is 69274603809.

It is a happy number.

90830647296 is a `hidden beast` number, since 9 + 0 + 8 + 306 + 47 + 296 = 666.

It is a super-2 number, since 2×90830647296² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56732896 + ... + 56734496.

Almost surely, 2^90830647296 is an apocalyptic number.

90830647296 is a gapful number since it is divisible by the number (96) 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 90830647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143423263260).

90830647296 is an abundant number, since it is smaller than the sum of its proper divisors (196015879224).

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

90830647296 is an equidigital number, since it uses as much as digits as its factorization.

90830647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 90830647296 in words is "ninety billion, eight hundred thirty million, six hundred forty-seven thousand, two hundred ninety-six".