87017040 has 120 divisors (see below), whose sum is σ = 318827808. Its totient is φ = 21093120.

The previous prime is 87017039. The next prime is 87017071. The reversal of 87017040 is 4071078.

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

It is a junction number, because it is equal to n+sod(n) for n = 87016995 and 87017013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2427 + ... + 13413.

Almost surely, 2^87017040 is an apocalyptic number.

87017040 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 87017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159413904).

87017040 is an abundant number, since it is smaller than the sum of its proper divisors (231810768).

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

87017040 is a wasteful number, since it uses less digits than its factorization.

87017040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 87017040 is about 9328.2924482458. The cubic root of 87017040 is about 443.1336894194.

The spelling of 87017040 in words is "eighty-seven million, seventeen thousand, forty".