168687840 has 96 divisors (see below), whose sum is σ = 533221920. Its totient is φ = 44826624.

The previous prime is 168687823. The next prime is 168687851. The reversal of 168687840 is 48786861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 168687840.

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 15 ways as a sum of consecutive naturals, for example, 218976 + ... + 219744.

It is an arithmetic number, because the mean of its divisors is an integer number (5554395).

Almost surely, 2^168687840 is an apocalyptic number.

168687840 is a gapful number since it is divisible by the number (10) 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 168687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266610960).

168687840 is an abundant number, since it is smaller than the sum of its proper divisors (364534080).

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

168687840 is a wasteful number, since it uses less digits than its factorization.

168687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 168687840 is about 12987.9882968842. The cubic root of 168687840 is about 552.5368647897.

The spelling of 168687840 in words is "one hundred sixty-eight million, six hundred eighty-seven thousand, eight hundred forty".