51600906 has 48 divisors (see below), whose sum is σ = 130201344. Its totient is φ = 14463072.

The previous prime is 51600881. The next prime is 51600907. The reversal of 51600906 is 60900615.

51600906 is a `hidden beast` number, since 51 + 600 + 9 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51600906.

It is not an unprimeable number, because it can be changed into a prime (51600907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2815 + ... + 10541.

It is an arithmetic number, because the mean of its divisors is an integer number (2712528).

Almost surely, 2^51600906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51600906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100672).

51600906 is an abundant number, since it is smaller than the sum of its proper divisors (78600438).

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

51600906 is a wasteful number, since it uses less digits than its factorization.

51600906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51600906 is about 7183.3770609651. The cubic root of 51600906 is about 372.2937759160.

The spelling of 51600906 in words is "fifty-one million, six hundred thousand, nine hundred six".