51344064 has 112 divisors (see below), whose sum is σ = 154675840. Its totient is φ = 16692480.

The previous prime is 51344053. The next prime is 51344071. The reversal of 51344064 is 46044315.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73959 + ... + 74649.

Almost surely, 2^51344064 is an apocalyptic number.

51344064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77337920).

51344064 is an abundant number, since it is smaller than the sum of its proper divisors (103331776).

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

51344064 is a wasteful number, since it uses less digits than its factorization.

51344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 51344064 is about 7165.4772346299. The cubic root of 51344064 is about 371.6750544290.

Adding to 51344064 its reverse (46044315), we get a palindrome (97388379).

It can be divided in two parts, 5134406 and 4, that added together give a triangular number (5134410 = T₃₂₀₄).

The spelling of 51344064 in words is "fifty-one million, three hundred forty-four thousand, sixty-four".