87654336 has 224 divisors, whose sum is σ = 297484800. Its totient is φ = 22767360.

The previous prime is 87654319. The next prime is 87654337. The reversal of 87654336 is 63345678.

It is a tau number, because it is divible by the number of its divisors (224).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=308.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87654337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7968571 + ... + 7968581.

Almost surely, 2^87654336 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 87654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148742400).

87654336 is an abundant number, since it is smaller than the sum of its proper divisors (209830464).

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

87654336 is an equidigital number, since it uses as much as digits as its factorization.

87654336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 87654336 is about 9362.3894385995. The cubic root of 87654336 is about 444.2128676547.

It can be divided in two parts, 87654 and 336, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 87654336 in words is "eighty-seven million, six hundred fifty-four thousand, three hundred thirty-six".