51606660 has 192 divisors, whose sum is σ = 180633600. Its totient is φ = 10741248.

The previous prime is 51606637. The next prime is 51606691. The reversal of 51606660 is 6660615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231309 + ... + 231531.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 2^51606660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51606660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

51606660 is an abundant number, since it is smaller than the sum of its proper divisors (129026940).

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

51606660 is a wasteful number, since it uses less digits than its factorization.

51606660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 51606660 is about 7183.7775578034. Note that the first 3 decimals coincide. The cubic root of 51606660 is about 372.3076135203.

The spelling of 51606660 in words is "fifty-one million, six hundred six thousand, six hundred sixty".