68852160 has 224 divisors, whose sum is σ = 262006080. Its totient is φ = 16920576.

The previous prime is 68852137. The next prime is 68852167. The reversal of 68852160 is 6125886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68852167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112014 + ... + 112626.

It is an arithmetic number, because the mean of its divisors is an integer number (1169670).

Almost surely, 2^68852160 is an apocalyptic number.

68852160 is a gapful number since it is divisible by the number (60) 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 68852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131003040).

68852160 is an abundant number, since it is smaller than the sum of its proper divisors (193153920).

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

68852160 is a wasteful number, since it uses less digits than its factorization.

68852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68852160 is about 8297.7201688175. The cubic root of 68852160 is about 409.8634484782.

It can be divided in two parts, 6885 and 2160, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 68852160 in words is "sixty-eight million, eight hundred fifty-two thousand, one hundred sixty".