88866000 has 120 divisors (see below), whose sum is σ = 310442184. Its totient is φ = 23692800.

The previous prime is 88865989. The next prime is 88866007. The reversal of 88866000 is 66888.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 83612736 = 2292^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88866007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15532 + ... + 20468.

Almost surely, 2^88866000 is an apocalyptic number.

88866000 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 88866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155221092).

88866000 is an abundant number, since it is smaller than the sum of its proper divisors (221576184).

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

88866000 is a wasteful number, since it uses less digits than its factorization.

88866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88866000 is about 9426.8764710269. The cubic root of 88866000 is about 446.2503236586.

The spelling of 88866000 in words is "eighty-eight million, eight hundred sixty-six thousand".