87163840 has 56 divisors (see below), whose sum is σ = 208373472. Its totient is φ = 34728960.

The previous prime is 87163837. The next prime is 87163873. The reversal of 87163840 is 4836178.

It is a happy number.

It is a super-3 number, since 3×87163840³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87163840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134397 + ... + 135043.

Almost surely, 2^87163840 is an apocalyptic number.

87163840 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 87163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186736).

87163840 is an abundant number, since it is smaller than the sum of its proper divisors (121209632).

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

87163840 is a wasteful number, since it uses less digits than its factorization.

87163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 87163840 is about 9336.1576679060. The cubic root of 87163840 is about 443.3827420891.

The spelling of 87163840 in words is "eighty-seven million, one hundred sixty-three thousand, eight hundred forty".