51629760 has 336 divisors, whose sum is σ = 219675456. Its totient is φ = 10838016.

The previous prime is 51629759. The next prime is 51629797. The reversal of 51629760 is 6792615.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 261982 + ... + 262178.

It is an arithmetic number, because the mean of its divisors is an integer number (653796).

Almost surely, 2^51629760 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 51629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109837728).

51629760 is an abundant number, since it is smaller than the sum of its proper divisors (168045696).

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

51629760 is a wasteful number, since it uses less digits than its factorization.

51629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 51629760 is about 7185.3851671292. The cubic root of 51629760 is about 372.3631555956.

It can be divided in two parts, 516 and 29760, that added together give a square (30276 = 174²).

The spelling of 51629760 in words is "fifty-one million, six hundred twenty-nine thousand, seven hundred sixty".