51604800 has 168 divisors, whose sum is σ = 182550816. Its totient is φ = 12687360.

The previous prime is 51604793. The next prime is 51604849. The reversal of 51604800 is 840615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61987 + ... + 62813.

It is an arithmetic number, because the mean of its divisors is an integer number (1086612).

Almost surely, 2^51604800 is an apocalyptic number.

51604800 is a gapful number since it is divisible by the number (50) 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 51604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275408).

51604800 is an abundant number, since it is smaller than the sum of its proper divisors (130946016).

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

51604800 is a wasteful number, since it uses less digits than its factorization.

51604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 51604800 is about 7183.6480982854. The cubic root of 51604800 is about 372.3031405803.

The spelling of 51604800 in words is "fifty-one million, six hundred four thousand, eight hundred".