51186240 has 168 divisors, whose sum is σ = 201289920. Its totient is φ = 11695104.

The previous prime is 51186227. The next prime is 51186241. The reversal of 51186240 is 4268115.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (51186241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18891 + ... + 21429.

Almost surely, 2^51186240 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 51186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100644960).

51186240 is an abundant number, since it is smaller than the sum of its proper divisors (150103680).

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

51186240 is a wasteful number, since it uses less digits than its factorization.

51186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51186240 is about 7154.4559541589. The cubic root of 51186240 is about 371.2938389886.

The spelling of 51186240 in words is "fifty-one million, one hundred eighty-six thousand, two hundred forty".