168564240 has 480 divisors, whose sum is σ = 682456320. Its totient is φ = 38320128.

The previous prime is 168564229. The next prime is 168564241. The reversal of 168564240 is 42465861.

168564240 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 642 + 4 + 0 = 666.

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 = 168564195 and 168564204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168564241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5812546 + ... + 5812574.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^168564240 is an apocalyptic number.

168564240 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 168564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

168564240 is an abundant number, since it is smaller than the sum of its proper divisors (513892080).

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

168564240 is a wasteful number, since it uses less digits than its factorization.

168564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 168564240 is about 12983.2291822951. The cubic root of 168564240 is about 552.4018812541.

The spelling of 168564240 in words is "one hundred sixty-eight million, five hundred sixty-four thousand, two hundred forty".