51964416 has 200 divisors, whose sum is σ = 178247520. Its totient is φ = 14764032.

The previous prime is 51964379. The next prime is 51964417. The reversal of 51964416 is 61446915.

51964416 is a `hidden beast` number, since 5 + 1 + 9 + 644 + 1 + 6 = 666.

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

Its product of digits (25920) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (51964417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290215 + ... + 290393.

Almost surely, 2^51964416 is an apocalyptic number.

51964416 is a gapful number since it is divisible by the number (56) 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 51964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89123760).

51964416 is an abundant number, since it is smaller than the sum of its proper divisors (126283104).

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

51964416 is an equidigital number, since it uses as much as digits as its factorization.

51964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

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

The square root of 51964416 is about 7208.6348222115. The cubic root of 51964416 is about 373.1659567173.

The spelling of 51964416 in words is "fifty-one million, nine hundred sixty-four thousand, four hundred sixteen".