168267840 has 224 divisors, whose sum is σ = 585459840. Its totient is φ = 40697856.

The previous prime is 168267811. The next prime is 168267859. The reversal of 168267840 is 48762861.

It is a junction number, because it is equal to n+sod(n) for n = 168267792 and 168267801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210491 + ... + 1210629.

It is an arithmetic number, because the mean of its divisors is an integer number (2613660).

Almost surely, 2^168267840 is an apocalyptic number.

168267840 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 168267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292729920).

168267840 is an abundant number, since it is smaller than the sum of its proper divisors (417192000).

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

168267840 is a wasteful number, since it uses less digits than its factorization.

168267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 168267840 is about 12971.8094343079. The cubic root of 168267840 is about 552.0779138078.

The spelling of 168267840 in words is "one hundred sixty-eight million, two hundred sixty-seven thousand, eight hundred forty".