51683940 has 288 divisors, whose sum is σ = 203777280. Its totient is φ = 10644480.

The previous prime is 51683939. The next prime is 51683959. The reversal of 51683940 is 4938615.

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

It is a junction number, because it is equal to n+sod(n) for n = 51683895 and 51683904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457324 + ... + 457436.

It is an arithmetic number, because the mean of its divisors is an integer number (707560).

Almost surely, 2^51683940 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 51683940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101888640).

51683940 is an abundant number, since it is smaller than the sum of its proper divisors (152093340).

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

51683940 is a wasteful number, since it uses less digits than its factorization.

51683940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 51683940 is about 7189.1543313522. The cubic root of 51683940 is about 372.4933620426.

51683940 divided by its sum of digits (36) gives a triangular number (1435665 = T₁₆₉₄).

The spelling of 51683940 in words is "fifty-one million, six hundred eighty-three thousand, nine hundred forty".