168689040 has 120 divisors (see below), whose sum is σ = 566392320. Its totient is φ = 41513472.

The previous prime is 168689033. The next prime is 168689041. The reversal of 168689040 is 40986861.

168689040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×168689040² = 56911984432243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168688983 and 168689001.

It is not an unprimeable number, because it can be changed into a prime (168689041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38481 + ... + 42639.

It is an arithmetic number, because the mean of its divisors is an integer number (4719936).

Almost surely, 2^168689040 is an apocalyptic number.

168689040 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 168689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283196160).

168689040 is an abundant number, since it is smaller than the sum of its proper divisors (397703280).

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

168689040 is a wasteful number, since it uses less digits than its factorization.

168689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 168689040 is about 12988.0344933327. The cubic root of 168689040 is about 552.5381749862.

The spelling of 168689040 in words is "one hundred sixty-eight million, six hundred eighty-nine thousand, forty".