87093360 has 160 divisors (see below), whose sum is σ = 305367360. Its totient is φ = 22809600.

The previous prime is 87093343. The next prime is 87093403. The reversal of 87093360 is 6339078.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 131430 + ... + 132090.

It is an arithmetic number, because the mean of its divisors is an integer number (1908546).

Almost surely, 2^87093360 is an apocalyptic number.

87093360 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 87093360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152683680).

87093360 is an abundant number, since it is smaller than the sum of its proper divisors (218274000).

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

87093360 is a wasteful number, since it uses less digits than its factorization.

87093360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 87093360 is about 9332.3823325022. The cubic root of 87093360 is about 443.2632045906.

The spelling of 87093360 in words is "eighty-seven million, ninety-three thousand, three hundred sixty".