88684840000 has 105 divisors (see below), whose sum is σ = 220057369257. Its totient is φ = 35450112000.

The previous prime is 88684839973. The next prime is 88684840001. The reversal of 88684840000 is 4848688.

The square root of 88684840000 is 297800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 85278016576 + 3406823424 = 292024^2 + 58368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88684840001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59559256 + ... + 59560744.

Almost surely, 2^88684840000 is an apocalyptic number.

88684840000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88684840000 is the 297800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88684840000

88684840000 is an abundant number, since it is smaller than the sum of its proper divisors (131372529257).

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

88684840000 is an frugal number, since it uses more digits than its factorization.

88684840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 88684840000 in words is "eighty-eight billion, six hundred eighty-four million, eight hundred forty thousand".