87618048 has 160 divisors (see below), whose sum is σ = 276946560. Its totient is φ = 24084480.

The previous prime is 87618029. The next prime is 87618061. The reversal of 87618048 is 84081678.

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

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, 311668 + ... + 311948.

It is an arithmetic number, because the mean of its divisors is an integer number (1730916).

Almost surely, 2^87618048 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 87618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138473280).

87618048 is an abundant number, since it is smaller than the sum of its proper divisors (189328512).

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

87618048 is a wasteful number, since it uses less digits than its factorization.

87618048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 87618048 is about 9360.4512711728. The cubic root of 87618048 is about 444.1515593299.

The spelling of 87618048 in words is "eighty-seven million, six hundred eighteen thousand, forty-eight".