56864106 has 120 divisors (see below), whose sum is σ = 144549504. Its totient is φ = 16679520.

The previous prime is 56864083. The next prime is 56864117. The reversal of 56864106 is 60146865.

56864106 is a `hidden beast` number, since 5 + 6 + 8 + 641 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 848685 + ... + 848751.

Almost surely, 2^56864106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56864106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274752).

56864106 is an abundant number, since it is smaller than the sum of its proper divisors (87685398).

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

56864106 is a wasteful number, since it uses less digits than its factorization.

56864106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56864106 is about 7540.8292647427. The cubic root of 56864106 is about 384.5440286927.

The spelling of 56864106 in words is "fifty-six million, eight hundred sixty-four thousand, one hundred six".