51886464 has 128 divisors (see below), whose sum is σ = 159936000. Its totient is φ = 14598144.

The previous prime is 51886463. The next prime is 51886493. The reversal of 51886464 is 46468815.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (184320) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51886463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260637 + ... + 260835.

It is an arithmetic number, because the mean of its divisors is an integer number (1249500).

Almost surely, 2^51886464 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 51886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968000).

51886464 is an abundant number, since it is smaller than the sum of its proper divisors (108049536).

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

51886464 is a wasteful number, since it uses less digits than its factorization.

51886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 51886464 is about 7203.2259439782. The cubic root of 51886464 is about 372.9792674880.

The spelling of 51886464 in words is "fifty-one million, eight hundred eighty-six thousand, four hundred sixty-four".