51738960 has 320 divisors, whose sum is σ = 207986688. Its totient is φ = 10340352.

The previous prime is 51738949. The next prime is 51738961. The reversal of 51738960 is 6983715.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51738961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502269 + ... + 502371.

Almost surely, 2^51738960 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 51738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

51738960 is an abundant number, since it is smaller than the sum of its proper divisors (156247728).

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

51738960 is a wasteful number, since it uses less digits than its factorization.

51738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

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

The square root of 51738960 is about 7192.9799109966. The cubic root of 51738960 is about 372.6254941039.

The spelling of 51738960 in words is "fifty-one million, seven hundred thirty-eight thousand, nine hundred sixty".