88066000 has 80 divisors (see below), whose sum is σ = 232360128. Its totient is φ = 32016000.

The previous prime is 88065997. The next prime is 88066039. The reversal of 88066000 is 66088.

88066000 = 195³ + 196³ + ... + 205³.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 88066000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999 + ... + 24001.

Almost surely, 2^88066000 is an apocalyptic number.

88066000 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 88066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116180064).

88066000 is an abundant number, since it is smaller than the sum of its proper divisors (144294128).

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

88066000 is a wasteful number, since it uses less digits than its factorization.

88066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 88066000 is about 9384.3486721242. The cubic root of 88066000 is about 444.9071893302.

The spelling of 88066000 in words is "eighty-eight million, sixty-six thousand".