168078240 has 336 divisors, whose sum is σ = 654435936. Its totient is φ = 40435200.

The previous prime is 168078223. The next prime is 168078263. The reversal of 168078240 is 42870861.

It is a super-2 number, since 2×168078240² = 56500589522995200, which contains 22 as substring.

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 = 168078195 and 168078204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1282975 + ... + 1283105.

It is an arithmetic number, because the mean of its divisors is an integer number (1947726).

Almost surely, 2^168078240 is an apocalyptic number.

168078240 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 168078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327217968).

168078240 is an abundant number, since it is smaller than the sum of its proper divisors (486357696).

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

168078240 is a wasteful number, since it uses less digits than its factorization.

168078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 168078240 is about 12964.4992190211. The cubic root of 168078240 is about 551.8704800091.

The spelling of 168078240 in words is "one hundred sixty-eight million, seventy-eight thousand, two hundred forty".