56007840 has 192 divisors, whose sum is σ = 205148160. Its totient is φ = 12579840.

The previous prime is 56007817. The next prime is 56007859. The reversal of 56007840 is 4870065.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56007798 and 56007807.

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, 265335 + ... + 265545.

It is an arithmetic number, because the mean of its divisors is an integer number (1068480).

Almost surely, 2^56007840 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 56007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102574080).

56007840 is an abundant number, since it is smaller than the sum of its proper divisors (149140320).

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

56007840 is a wasteful number, since it uses less digits than its factorization.

56007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 56007840 is about 7483.8385872492. The cubic root of 56007840 is about 382.6040897457.

The spelling of 56007840 in words is "fifty-six million, seven thousand, eight hundred forty".