56067840 has 216 divisors, whose sum is σ = 201522048. Its totient is φ = 14376960.

The previous prime is 56067821. The next prime is 56067857. The reversal of 56067840 is 4876065.

It is a happy number.

56067840 is a `hidden beast` number, since 5 + 606 + 7 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56067795 and 56067804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357042 + ... + 357198.

Almost surely, 2^56067840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100761024).

56067840 is an abundant number, since it is smaller than the sum of its proper divisors (145454208).

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

56067840 is a wasteful number, since it uses less digits than its factorization.

56067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56067840 is about 7487.8461522657. The cubic root of 56067840 is about 382.7406661771.

The spelling of 56067840 in words is "fifty-six million, sixty-seven thousand, eight hundred forty".