87045840 has 400 divisors, whose sum is σ = 367297920. Its totient is φ = 18662400.

The previous prime is 87045809. The next prime is 87045851. The reversal of 87045840 is 4854078.

87045840 is a `hidden beast` number, since 8 + 70 + 4 + 584 + 0 = 666.

It is a super-3 number, since 3×87045840³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 87045795 and 87045804.

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 79 ways as a sum of consecutive naturals, for example, 861790 + ... + 861890.

Almost surely, 2^87045840 is an apocalyptic number.

87045840 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 87045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

87045840 is an abundant number, since it is smaller than the sum of its proper divisors (280252080).

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

87045840 is a wasteful number, since it uses less digits than its factorization.

87045840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

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

The square root of 87045840 is about 9329.8360114206. The cubic root of 87045840 is about 443.1825719621.

The spelling of 87045840 in words is "eighty-seven million, forty-five thousand, eight hundred forty".