68087040 has 288 divisors, whose sum is σ = 264902400. Its totient is φ = 14548992.

The previous prime is 68087011. The next prime is 68087077. The reversal of 68087040 is 4078086.

68087040 = T₁₄₉ + T₁₅₀ + ... + T₇₄₃.

It is a junction number, because it is equal to n+sod(n) for n = 68086992 and 68087010.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 596 × 204 × 560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456886 + ... + 457034.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 2^68087040 is an apocalyptic number.

68087040 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 68087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

68087040 is an abundant number, since it is smaller than the sum of its proper divisors (196815360).

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

68087040 is a wasteful number, since it uses less digits than its factorization.

68087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 68087040 is about 8251.4871386920. The cubic root of 68087040 is about 408.3395865579.

The spelling of 68087040 in words is "sixty-eight million, eighty-seven thousand, forty".