87182640 has 120 divisors (see below), whose sum is σ = 308246640. Its totient is φ = 22021632.

The previous prime is 87182609. The next prime is 87182651. The reversal of 87182640 is 4628178.

87182640 is a `hidden beast` number, since 8 + 7 + 1 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 87182595 and 87182604.

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 23 ways as a sum of consecutive naturals, for example, 10494 + ... + 16866.

It is an arithmetic number, because the mean of its divisors is an integer number (2568722).

Almost surely, 2^87182640 is an apocalyptic number.

87182640 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 87182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154123320).

87182640 is an abundant number, since it is smaller than the sum of its proper divisors (221064000).

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

87182640 is a wasteful number, since it uses less digits than its factorization.

87182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87182640 is about 9337.1644518023. The cubic root of 87182640 is about 443.4146169137.

The spelling of 87182640 in words is "eighty-seven million, one hundred eighty-two thousand, six hundred forty".