87888760 has 64 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 34198656.

The previous prime is 87888733. The next prime is 87888761. The reversal of 87888760 is 6788878.

It is a junction number, because it is equal to n+sod(n) for n = 87888698 and 87888707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87888761) 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, 394009 + ... + 394231.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^87888760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87888760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

87888760 is an abundant number, since it is smaller than the sum of its proper divisors (115324040).

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

87888760 is a wasteful number, since it uses less digits than its factorization.

87888760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 52.

The square root of 87888760 is about 9374.9005328057. The cubic root of 87888760 is about 444.6085182184.

The spelling of 87888760 in words is "eighty-seven million, eight hundred eighty-eight thousand, seven hundred sixty".