88893000 has 384 divisors, whose sum is σ = 367960320. Its totient is φ = 18892800.

The previous prime is 88892989. The next prime is 88893019. The reversal of 88893000 is 39888.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 1070959 + ... + 1071041.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^88893000 is an apocalyptic number.

88893000 is the 5040-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

88893000 is an abundant number, since it is smaller than the sum of its proper divisors (279067320).

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

88893000 is a wasteful number, since it uses less digits than its factorization.

88893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88893000 is about 9428.3084378906. The cubic root of 88893000 is about 446.2955135651.

The spelling of 88893000 in words is "eighty-eight million, eight hundred ninety-three thousand".