88848000 has 192 divisors, whose sum is σ = 319592520. Its totient is φ = 23654400.

The previous prime is 88847987. The next prime is 88848031. The reversal of 88848000 is 84888.

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 82737216 = 2472^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143692 + ... + 144308.

Almost surely, 2^88848000 is an apocalyptic number.

88848000 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 88848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159796260).

88848000 is an abundant number, since it is smaller than the sum of its proper divisors (230744520).

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

88848000 is a wasteful number, since it uses less digits than its factorization.

88848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88848000 is about 9425.9217055946. The cubic root of 88848000 is about 446.2201919689.

The spelling of 88848000 in words is "eighty-eight million, eight hundred forty-eight thousand".