168791040 has 440 divisors, whose sum is σ = 677671632. Its totient is φ = 39813120.

The previous prime is 168791009. The next prime is 168791057. The reversal of 168791040 is 40197861.

It is a tau number, because it is divible by the number of its divisors (440).

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 = 168790986 and 168791004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561902 + ... + 4561938.

Almost surely, 2^168791040 is an apocalyptic number.

168791040 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 168791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338835816).

168791040 is an abundant number, since it is smaller than the sum of its proper divisors (508880592).

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

168791040 is a wasteful number, since it uses less digits than its factorization.

168791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 168791040 is about 12991.9605910732. The cubic root of 168791040 is about 552.6495189880.

The spelling of 168791040 in words is "one hundred sixty-eight million, seven hundred ninety-one thousand, forty".