90843284160 has 224 divisors, whose sum is σ = 331526692800. Its totient is φ = 23389470720.

The previous prime is 90843284159. The next prime is 90843284167. The reversal of 90843284160 is 6148234809.

It is a happy number.

90843284160 is a `hidden beast` number, since 90 + 84 + 328 + 4 + 160 = 666.

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 (90843284167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69280 + ... + 431840.

Almost surely, 2^90843284160 is an apocalyptic number.

90843284160 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 90843284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165763346400).

90843284160 is an abundant number, since it is smaller than the sum of its proper divisors (240683408640).

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

90843284160 is a wasteful number, since it uses less digits than its factorization.

90843284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362616 (or 362600 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90843284160 in words is "ninety billion, eight hundred forty-three million, two hundred eighty-four thousand, one hundred sixty".