168272640 has 216 divisors, whose sum is σ = 604885008. Its totient is φ = 44789760.

The previous prime is 168272639. The next prime is 168272653. The reversal of 168272640 is 46272861.

168272640 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×168272640³ (a number of 26 digits) contains 333 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 = 168272595 and 168272604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310770 + ... + 311310.

Almost surely, 2^168272640 is an apocalyptic number.

168272640 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 168272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302442504).

168272640 is an abundant number, since it is smaller than the sum of its proper divisors (436612368).

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

168272640 is an frugal number, since it uses more digits than its factorization.

168272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168272640 is about 12971.9944495825. The cubic root of 168272640 is about 552.0831632736.

The spelling of 168272640 in words is "one hundred sixty-eight million, two hundred seventy-two thousand, six hundred forty".