51567936 has 224 divisors, whose sum is σ = 172346112. Its totient is φ = 13271040.

The previous prime is 51567917. The next prime is 51567937. The reversal of 51567936 is 63976515.

It is a happy number.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51567937) 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, 845346 + ... + 845406.

Almost surely, 2^51567936 is an apocalyptic number.

51567936 is a gapful number since it is divisible by the number (56) 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 51567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173056).

51567936 is an abundant number, since it is smaller than the sum of its proper divisors (120778176).

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

51567936 is a wasteful number, since it uses less digits than its factorization.

51567936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 51567936 is about 7181.0818126519. The cubic root of 51567936 is about 372.2144676123.

The spelling of 51567936 in words is "fifty-one million, five hundred sixty-seven thousand, nine hundred thirty-six".