51406600 has 96 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 17349120.

The previous prime is 51406583. The next prime is 51406601. The reversal of 51406600 is 660415.

It is not an unprimeable number, because it can be changed into a prime (51406601) 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, 101949 + ... + 102451.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2^51406600 is an apocalyptic number.

51406600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

51406600 is an abundant number, since it is smaller than the sum of its proper divisors (87334520).

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

51406600 is a wasteful number, since it uses less digits than its factorization.

51406600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51406600 is about 7169.8396076900. The cubic root of 51406600 is about 371.8258906974.

The spelling of 51406600 in words is "fifty-one million, four hundred six thousand, six hundred".