51893760 has 160 divisors (see below), whose sum is σ = 172355040. Its totient is φ = 13303808.

The previous prime is 51893753. The next prime is 51893791. The reversal of 51893760 is 6739815.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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, 222604 + ... + 222836.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2^51893760 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 51893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

51893760 is an abundant number, since it is smaller than the sum of its proper divisors (120461280).

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

51893760 is a wasteful number, since it uses less digits than its factorization.

51893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 51893760 is about 7203.7323659336. The cubic root of 51893760 is about 372.9967487923.

The spelling of 51893760 in words is "fifty-one million, eight hundred ninety-three thousand, seven hundred sixty".