87618960 has 480 divisors, whose sum is σ = 370476288. Its totient is φ = 18247680.

The previous prime is 87618959. The next prime is 87618961. The reversal of 87618960 is 6981678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87618959) and next prime (87618961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87618961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2368062 + ... + 2368098.

Almost surely, 2^87618960 is an apocalyptic number.

87618960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 9360×9361.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

87618960 is an abundant number, since it is smaller than the sum of its proper divisors (282857328).

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

87618960 is a wasteful number, since it uses less digits than its factorization.

87618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87618960 is about 9360.4999866460. The cubic root of 87618960 is about 444.1531003549.

The spelling of 87618960 in words is "eighty-seven million, six hundred eighteen thousand, nine hundred sixty".