51668000 has 48 divisors (see below), whose sum is σ = 126958104. Its totient is φ = 20665600.

The previous prime is 51667969. The next prime is 51668003. The reversal of 51668000 is 86615.

It can be written as a sum of positive squares in 4 ways, for example, as 16289296 + 35378704 = 4036^2 + 5948^2 .

It is not an unprimeable number, because it can be changed into a prime (51668003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2459 + ... + 10458.

Almost surely, 2^51668000 is an apocalyptic number.

51668000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51668000 is an abundant number, since it is smaller than the sum of its proper divisors (75290104).

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

51668000 is a wasteful number, since it uses less digits than its factorization.

51668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942 (or 12924 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 51668000 is about 7188.0456314634. The cubic root of 51668000 is about 372.4550641709.

The spelling of 51668000 in words is "fifty-one million, six hundred sixty-eight thousand".