51880640 has 224 divisors, whose sum is σ = 158008320. Its totient is φ = 15814656.

The previous prime is 51880627. The next prime is 51880649. The reversal of 51880640 is 4608815.

51880640 = T₃₉₉ + T₄₀₀ + ... + T₇₂₀.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 51880597 and 51880606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51880649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978854 + ... + 978906.

Almost surely, 2^51880640 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 51880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

51880640 is an abundant number, since it is smaller than the sum of its proper divisors (106127680).

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

51880640 is a wasteful number, since it uses less digits than its factorization.

51880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 51880640 is about 7202.8216693182. The cubic root of 51880640 is about 372.9653119373.

The spelling of 51880640 in words is "fifty-one million, eight hundred eighty thousand, six hundred forty".