56167040 has 128 divisors (see below), whose sum is σ = 146880000. Its totient is φ = 20459520.

The previous prime is 56167039. The next prime is 56167043. The reversal of 56167040 is 4076165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 56166994 and 56167012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56167043) 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, 376886 + ... + 377034.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^56167040 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 56167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

56167040 is an abundant number, since it is smaller than the sum of its proper divisors (90712960).

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

56167040 is a wasteful number, since it uses less digits than its factorization.

56167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 56167040 is about 7494.4672926099. The cubic root of 56167040 is about 382.9662589832.

The spelling of 56167040 in words is "fifty-six million, one hundred sixty-seven thousand, forty".