87648288 has 192 divisors, whose sum is σ = 289013760. Its totient is φ = 22643712.

The previous prime is 87648287. The next prime is 87648289. The reversal of 87648288 is 88284678.

It is an interprime number because it is at equal distance from previous prime (87648287) and next prime (87648289).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87648288.

It is not an unprimeable number, because it can be changed into a prime (87648287) 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, 690081 + ... + 690207.

It is an arithmetic number, because the mean of its divisors is an integer number (1505280).

Almost surely, 2^87648288 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 87648288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

87648288 is an abundant number, since it is smaller than the sum of its proper divisors (201365472).

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

87648288 is a wasteful number, since it uses less digits than its factorization.

87648288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 87648288 is about 9362.0664385594. The cubic root of 87648288 is about 444.2026507758.

The spelling of 87648288 in words is "eighty-seven million, six hundred forty-eight thousand, two hundred eighty-eight".