68042880 has 96 divisors (see below), whose sum is σ = 234980460. Its totient is φ = 18143232.

The previous prime is 68042873. The next prime is 68042893. The reversal of 68042880 is 8824086.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 1065024 = 8184^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 147 + ... + 11666.

Almost surely, 2^68042880 is an apocalyptic number.

68042880 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 68042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117490230).

68042880 is an abundant number, since it is smaller than the sum of its proper divisors (166937580).

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

68042880 is a wasteful number, since it uses less digits than its factorization.

68042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68042880 is about 8248.8108233854. The cubic root of 68042880 is about 408.2512869539.

The spelling of 68042880 in words is "sixty-eight million, forty-two thousand, eight hundred eighty".