51907680 has 288 divisors, whose sum is σ = 201670560. Its totient is φ = 12042240.

The previous prime is 51907649. The next prime is 51907697. The reversal of 51907680 is 8670915.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459304 + ... + 459416.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^51907680 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 51907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

51907680 is an abundant number, since it is smaller than the sum of its proper divisors (149762880).

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

51907680 is a wasteful number, since it uses less digits than its factorization.

51907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 51907680 is about 7204.6984669728. The cubic root of 51907680 is about 373.0300967360.

The spelling of 51907680 in words is "fifty-one million, nine hundred seven thousand, six hundred eighty".