88838000 has 80 divisors (see below), whose sum is σ = 220018656. Its totient is φ = 34675200.

The previous prime is 88837993. The next prime is 88838003. The reversal of 88838000 is 83888.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88838003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85484 + ... + 86516.

Almost surely, 2^88838000 is an apocalyptic number.

88838000 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 88838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110009328).

88838000 is an abundant number, since it is smaller than the sum of its proper divisors (131180656).

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

88838000 is a wasteful number, since it uses less digits than its factorization.

88838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 88838000 is about 9425.3912385641. The cubic root of 88838000 is about 446.2034503827.

The spelling of 88838000 in words is "eighty-eight million, eight hundred thirty-eight thousand".