87838000 has 80 divisors (see below), whose sum is σ = 218316384. Its totient is φ = 34156800.

The previous prime is 87837991. The next prime is 87838001. The reversal of 87838000 is 83878.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87838001) 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, 73407 + ... + 74593.

Almost surely, 2^87838000 is an apocalyptic number.

87838000 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 87838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109158192).

87838000 is an abundant number, since it is smaller than the sum of its proper divisors (130478384).

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

87838000 is a wasteful number, since it uses less digits than its factorization.

87838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 87838000 is about 9372.1929130807. The cubic root of 87838000 is about 444.5229074435.

The spelling of 87838000 in words is "eighty-seven million, eight hundred thirty-eight thousand".