96888000 has 224 divisors, whose sum is σ = 349959168. Its totient is φ = 23424000.

The previous prime is 96887977. The next prime is 96888013. The reversal of 96888000 is 88869.

It is a super-4 number, since 4×96888000⁴ (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96888000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263817 + ... + 264183.

Almost surely, 2^96888000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174979584).

96888000 is an abundant number, since it is smaller than the sum of its proper divisors (253071168).

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

96888000 is a wasteful number, since it uses less digits than its factorization.

96888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 96888000 is about 9843.1702210213. The cubic root of 96888000 is about 459.2931803930.

It can be divided in two parts, 968 and 88000, that multiplied together give a cube (85184000 = 440³).

The spelling of 96888000 in words is "ninety-six million, eight hundred eighty-eight thousand".