68516160 has 112 divisors (see below), whose sum is σ = 219456000. Its totient is φ = 18110464.

The previous prime is 68516101. The next prime is 68516167. The reversal of 68516160 is 6161586.

It is a super-2 number, since 2×68516160² = 9388928362291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68516167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142801 + ... + 143279.

Almost surely, 2^68516160 is an apocalyptic number.

68516160 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 68516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

68516160 is an abundant number, since it is smaller than the sum of its proper divisors (150939840).

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

68516160 is a wasteful number, since it uses less digits than its factorization.

68516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 68516160 is about 8277.4488823550. The cubic root of 68516160 is about 409.1956468971.

The spelling of 68516160 in words is "sixty-eight million, five hundred sixteen thousand, one hundred sixty".