51696144 has 100 divisors (see below), whose sum is σ = 151375356. Its totient is φ = 17031168.

The previous prime is 51696119. The next prime is 51696163. The reversal of 51696144 is 44169615.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 43401744 = 2880^2 + 6588^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 51696099 and 51696108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146272 + ... + 146624.

Almost surely, 2^51696144 is an apocalyptic number.

51696144 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 51696144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75687678).

51696144 is an abundant number, since it is smaller than the sum of its proper divisors (99679212).

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

51696144 is a wasteful number, since it uses less digits than its factorization.

51696144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

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

The square root of 51696144 is about 7190.0030598046. The cubic root of 51696144 is about 372.5226783784.

The spelling of 51696144 in words is "fifty-one million, six hundred ninety-six thousand, one hundred forty-four".