87840184320 has 1008 divisors, whose sum is σ = 370169457840. Its totient is φ = 19588055040.

The previous prime is 87840184319. The next prime is 87840184321. The reversal of 87840184320 is 2348104878.

It is an interprime number because it is at equal distance from previous prime (87840184319) and next prime (87840184321).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87840184321) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2142443500 + ... + 2142443540.

It is an arithmetic number, because the mean of its divisors is an integer number (367231605).

Almost surely, 2^87840184320 is an apocalyptic number.

87840184320 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 87840184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185084728920).

87840184320 is an abundant number, since it is smaller than the sum of its proper divisors (282329273520).

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

87840184320 is an frugal number, since it uses more digits than its factorization.

87840184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 87840184320 in words is "eighty-seven billion, eight hundred forty million, one hundred eighty-four thousand, three hundred twenty".