51893640 has 96 divisors (see below), whose sum is σ = 172298880. Its totient is φ = 13539456.

The previous prime is 51893603. The next prime is 51893663. The reversal of 51893640 is 4639815.

51893640 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 3 + 640 = 666.

51893640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 51893595 and 51893604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15387 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (1794780).

Almost surely, 2^51893640 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 51893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86149440).

51893640 is an abundant number, since it is smaller than the sum of its proper divisors (120405240).

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

51893640 is a wasteful number, since it uses less digits than its factorization.

51893640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3124 counting only the distinct ones).

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

The square root of 51893640 is about 7203.7240369131. The cubic root of 51893640 is about 372.9964612841.

The spelling of 51893640 in words is "fifty-one million, eight hundred ninety-three thousand, six hundred forty".