87654648 has 64 divisors (see below), whose sum is σ = 225388800. Its totient is φ = 28396800.

The previous prime is 87654641. The next prime is 87654649. The reversal of 87654648 is 84645678.

Its product of digits (1290240) is a multiple of the sum of its prime divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 87654597 and 87654606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87654641) 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, 145548 + ... + 146148.

It is an arithmetic number, because the mean of its divisors is an integer number (3521700).

Almost surely, 2^87654648 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 87654648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112694400).

87654648 is an abundant number, since it is smaller than the sum of its proper divisors (137734152).

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

87654648 is a wasteful number, since it uses less digits than its factorization.

87654648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 87654648 is about 9362.4061009978. The cubic root of 87654648 is about 444.2133947031.

The spelling of 87654648 in words is "eighty-seven million, six hundred fifty-four thousand, six hundred forty-eight".