51735840 has 96 divisors (see below), whose sum is σ = 175525056. Its totient is φ = 12733440.

The previous prime is 51735839. The next prime is 51735847. The reversal of 51735840 is 4853715.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (51735847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 10385.

It is an arithmetic number, because the mean of its divisors is an integer number (1828386).

Almost surely, 2^51735840 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 51735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87762528).

51735840 is an abundant number, since it is smaller than the sum of its proper divisors (123789216).

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

51735840 is a wasteful number, since it uses less digits than its factorization.

51735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 51735840 is about 7192.7630296014. The cubic root of 51735840 is about 372.6180038431.

The spelling of 51735840 in words is "fifty-one million, seven hundred thirty-five thousand, eight hundred forty".