87884000 has 96 divisors (see below), whose sum is σ = 218889216. Its totient is φ = 34675200.

The previous prime is 87883997. The next prime is 87884009. The reversal of 87884000 is 48878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87884009) 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, 507914 + ... + 508086.

It is an arithmetic number, because the mean of its divisors is an integer number (2280096).

Almost surely, 2^87884000 is an apocalyptic number.

87884000 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 87884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109444608).

87884000 is an abundant number, since it is smaller than the sum of its proper divisors (131005216).

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

87884000 is a wasteful number, since it uses less digits than its factorization.

87884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 87884000 is about 9374.6466600080. The cubic root of 87884000 is about 444.6004915008.

The spelling of 87884000 in words is "eighty-seven million, eight hundred eighty-four thousand".