96890322240 has 672 divisors, whose sum is σ = 361985210496. Its totient is φ = 23699128320.

The previous prime is 96890322239. The next prime is 96890322253. The reversal of 96890322240 is 4222309869.

96890322240 is a `hidden beast` number, since 9 + 6 + 89 + 0 + 322 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459195735 + ... + 459195945.

It is an arithmetic number, because the mean of its divisors is an integer number (538668468).

Almost surely, 2^96890322240 is an apocalyptic number.

96890322240 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 96890322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180992605248).

96890322240 is an abundant number, since it is smaller than the sum of its proper divisors (265094888256).

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

96890322240 is a wasteful number, since it uses less digits than its factorization.

96890322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96890322240 in words is "ninety-six billion, eight hundred ninety million, three hundred twenty-two thousand, two hundred forty".