87068800 has 288 divisors, whose sum is σ = 277750080. Its totient is φ = 26357760.

The previous prime is 87068749. The next prime is 87068803. The reversal of 87068800 is 886078.

It is a self number, because there is not a number n which added to its sum of digits gives 87068800.

It is not an unprimeable number, because it can be changed into a prime (87068803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3785589 + ... + 3785611.

It is an arithmetic number, because the mean of its divisors is an integer number (964410).

Almost surely, 2^87068800 is an apocalyptic number.

87068800 is a gapful number since it is divisible by the number (80) 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 87068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138875040).

87068800 is an abundant number, since it is smaller than the sum of its proper divisors (190681280).

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

87068800 is a wasteful number, since it uses less digits than its factorization.

87068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 87068800 is about 9331.0663913617. The cubic root of 87068800 is about 443.2215344878.

It can be divided in two parts, 8 and 7068800, that multiplied together give a square (56550400 = 7520²).

The spelling of 87068800 in words is "eighty-seven million, sixty-eight thousand, eight hundred".