87618000 has 160 divisors (see below), whose sum is σ = 299445120. Its totient is φ = 21964800.

The previous prime is 87617989. The next prime is 87618023. The reversal of 87618000 is 81678.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101571 + ... + 102429.

It is an arithmetic number, because the mean of its divisors is an integer number (1871532).

Almost surely, 2^87618000 is an apocalyptic number.

87618000 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 87618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149722560).

87618000 is an abundant number, since it is smaller than the sum of its proper divisors (211827120).

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

87618000 is a wasteful number, since it uses less digits than its factorization.

87618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 87618000 is about 9360.4487071935. The cubic root of 87618000 is about 444.1514782230.

Adding to 87618000 its reverse (81678), we get a palindrome (87699678).

It can be divided in two parts, 8761 and 8000, that added together give a palindrome (16761).

The spelling of 87618000 in words is "eighty-seven million, six hundred eighteen thousand".