87320160 has 384 divisors, whose sum is σ = 342921600. Its totient is φ = 20643840.

The previous prime is 87320159. The next prime is 87320161. The reversal of 87320160 is 6102378.

It is an interprime number because it is at equal distance from previous prime (87320159) and next prime (87320161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87320161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2129740 + ... + 2129780.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 2^87320160 is an apocalyptic number.

87320160 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 87320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

87320160 is an abundant number, since it is smaller than the sum of its proper divisors (255601440).

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

87320160 is a wasteful number, since it uses less digits than its factorization.

87320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87320160 is about 9344.5256701451. The cubic root of 87320160 is about 443.6476386261.

The spelling of 87320160 in words is "eighty-seven million, three hundred twenty thousand, one hundred sixty".