51966144 has 224 divisors, whose sum is σ = 170078400. Its totient is φ = 15482880.

The previous prime is 51966143. The next prime is 51966149. The reversal of 51966144 is 44166915.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 51966099 and 51966108.

It is not an unprimeable number, because it can be changed into a prime (51966143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851874 + ... + 851934.

Almost surely, 2^51966144 is an apocalyptic number.

51966144 is a gapful number since it is divisible by the number (54) 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 51966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85039200).

51966144 is an abundant number, since it is smaller than the sum of its proper divisors (118112256).

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

51966144 is a wasteful number, since it uses less digits than its factorization.

51966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

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

The square root of 51966144 is about 7208.7546774738. The cubic root of 51966144 is about 373.1700930325.

The spelling of 51966144 in words is "fifty-one million, nine hundred sixty-six thousand, one hundred forty-four".