87654320 has 80 divisors (see below), whose sum is σ = 222173280. Its totient is φ = 31967232.

The previous prime is 87654319. The next prime is 87654337. The reversal of 87654320 is 2345678.

It is a happy number.

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92087 + ... + 93033.

It is an arithmetic number, because the mean of its divisors is an integer number (2777166).

Almost surely, 2^87654320 is an apocalyptic number.

87654320 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 87654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111086640).

87654320 is an abundant number, since it is smaller than the sum of its proper divisors (134518960).

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

87654320 is a wasteful number, since it uses less digits than its factorization.

87654320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 87654320 is about 9362.3885841168. The cubic root of 87654320 is about 444.2128406265.

Adding to 87654320 its reverse (2345678), we get a palindrome (89999998).

The spelling of 87654320 in words is "eighty-seven million, six hundred fifty-four thousand, three hundred twenty".