88304065600 has 567 divisors, whose sum is σ = 254655990687. Its totient is φ = 30124892160.

The previous prime is 88304065589. The next prime is 88304065601. The reversal of 88304065600 is 656040388.

The square root of 88304065600 is 297160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2065520704 + 86238544896 = 45448^2 + 293664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88304065601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3839307189 + ... + 3839307211.

Almost surely, 2^88304065600 is an apocalyptic number.

88304065600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88304065600 is the 297160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88304065600

88304065600 is an abundant number, since it is smaller than the sum of its proper divisors (166351925087).

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

88304065600 is a wasteful number, since it uses less digits than its factorization.

88304065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 88304065600 in words is "eighty-eight billion, three hundred four million, sixty-five thousand, six hundred".