87285240 has 192 divisors, whose sum is σ = 341452800. Its totient is φ = 18890496.

The previous prime is 87285239. The next prime is 87285277. The reversal of 87285240 is 4258278.

It is a happy number.

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 = 87285195 and 87285204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46969 + ... + 48791.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2^87285240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87285240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

87285240 is an abundant number, since it is smaller than the sum of its proper divisors (254167560).

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

87285240 is a wasteful number, since it uses less digits than its factorization.

87285240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87285240 is about 9342.6570096520. The cubic root of 87285240 is about 443.5884913793.

The spelling of 87285240 in words is "eighty-seven million, two hundred eighty-five thousand, two hundred forty".