51884160 has 128 divisors (see below), whose sum is σ = 168471360. Its totient is φ = 13578240.

The previous prime is 51884149. The next prime is 51884171. The reversal of 51884160 is 6148815.

It is an interprime number because it is at equal distance from previous prime (51884149) and next prime (51884171).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116899 + ... + 117341.

Almost surely, 2^51884160 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 51884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84235680).

51884160 is an abundant number, since it is smaller than the sum of its proper divisors (116587200).

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

51884160 is a wasteful number, since it uses less digits than its factorization.

51884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 51884160 is about 7203.0660138583. The cubic root of 51884160 is about 372.9737467357.

The spelling of 51884160 in words is "fifty-one million, eight hundred eighty-four thousand, one hundred sixty".