68726160 has 120 divisors (see below), whose sum is σ = 235290744. Its totient is φ = 17971200.

The previous prime is 68726159. The next prime is 68726183. The reversal of 68726160 is 6162786.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 65221776 = 1872^2 + 8076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 37260 + ... + 39060.

Almost surely, 2^68726160 is an apocalyptic number.

68726160 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 68726160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117645372).

68726160 is an abundant number, since it is smaller than the sum of its proper divisors (166564584).

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

68726160 is a wasteful number, since it uses less digits than its factorization.

68726160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68726160 is about 8290.1242451486. The cubic root of 68726160 is about 409.6132780221.

It can be divided in two parts, 68726 and 160, that added together give a palindrome (68886).

The spelling of 68726160 in words is "sixty-eight million, seven hundred twenty-six thousand, one hundred sixty".