51367680 has 432 divisors, whose sum is σ = 223204800. Its totient is φ = 10838016.

The previous prime is 51367669. The next prime is 51367681. The reversal of 51367680 is 8676315.

51367680 is a `hidden beast` number, since 513 + 67 + 6 + 80 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51367681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951354 + ... + 3951366.

Almost surely, 2^51367680 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 51367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111602400).

51367680 is an abundant number, since it is smaller than the sum of its proper divisors (171837120).

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

51367680 is a wasteful number, since it uses less digits than its factorization.

51367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 51367680 is about 7167.1249465877. The cubic root of 51367680 is about 371.7320303933.

The spelling of 51367680 in words is "fifty-one million, three hundred sixty-seven thousand, six hundred eighty".