56007126 has 96 divisors (see below), whose sum is σ = 146135808. Its totient is φ = 15746400.

The previous prime is 56007103. The next prime is 56007151. The reversal of 56007126 is 62170065.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 56007126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343521 + ... + 343683.

It is an arithmetic number, because the mean of its divisors is an integer number (1522248).

Almost surely, 2^56007126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56007126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73067904).

56007126 is an abundant number, since it is smaller than the sum of its proper divisors (90128682).

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

56007126 is a wasteful number, since it uses less digits than its factorization.

56007126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56007126 is about 7483.7908843046. The cubic root of 56007126 is about 382.6024638991.

The spelling of 56007126 in words is "fifty-six million, seven thousand, one hundred twenty-six".