51791600 has 120 divisors (see below), whose sum is σ = 145303200. Its totient is φ = 17372160.

The previous prime is 51791599. The next prime is 51791609. The reversal of 51791600 is 619715.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51791609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148226 + ... + 148574.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^51791600 is an apocalyptic number.

51791600 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 51791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72651600).

51791600 is an abundant number, since it is smaller than the sum of its proper divisors (93511600).

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

51791600 is a wasteful number, since it uses less digits than its factorization.

51791600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 51791600 is about 7196.6381040038. The cubic root of 51791600 is about 372.7518228741.

The spelling of 51791600 in words is "fifty-one million, seven hundred ninety-one thousand, six hundred".