87396960 has 288 divisors, whose sum is σ = 340381440. Its totient is φ = 18413568.

The previous prime is 87396943. The next prime is 87396971. The reversal of 87396960 is 6969378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362062 + ... + 2362098.

It is an arithmetic number, because the mean of its divisors is an integer number (1181880).

Almost surely, 2^87396960 is an apocalyptic number.

87396960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170190720).

87396960 is an abundant number, since it is smaller than the sum of its proper divisors (252984480).

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

87396960 is a wasteful number, since it uses less digits than its factorization.

87396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 87396960 is about 9348.6341248334. The cubic root of 87396960 is about 443.7776664626. Note that the first 3 decimals are identical.

The spelling of 87396960 in words is "eighty-seven million, three hundred ninety-six thousand, nine hundred sixty".