51828660 has 240 divisors, whose sum is σ = 184415616. Its totient is φ = 12089088.

The previous prime is 51828649. The next prime is 51828671. The reversal of 51828660 is 6682815.

It is a happy number.

51828660 is a `hidden beast` number, since 518 + 2 + 86 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (51828649) and next prime (51828671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484327 + ... + 484433.

Almost surely, 2^51828660 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 51828660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

51828660 is an abundant number, since it is smaller than the sum of its proper divisors (132586956).

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

51828660 is a wasteful number, since it uses less digits than its factorization.

51828660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 51828660 is about 7199.2124569289. The cubic root of 51828660 is about 372.8407104473.

The spelling of 51828660 in words is "fifty-one million, eight hundred twenty-eight thousand, six hundred sixty".