88986000 has 80 divisors (see below), whose sum is σ = 286910208. Its totient is φ = 23728000.

The previous prime is 88985989. The next prime is 88986017. The reversal of 88986000 is 68988.

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 88986000.

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, 1416 + ... + 13415.

Almost surely, 2^88986000 is an apocalyptic number.

88986000 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 88986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143455104).

88986000 is an abundant number, since it is smaller than the sum of its proper divisors (197924208).

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

88986000 is a wasteful number, since it uses less digits than its factorization.

88986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857 (or 14841 counting only the distinct ones).

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

The square root of 88986000 is about 9433.2391043586. The cubic root of 88986000 is about 446.4510976824.

The spelling of 88986000 in words is "eighty-eight million, nine hundred eighty-six thousand".