51969600 has 210 divisors, whose sum is σ = 191503554. Its totient is φ = 13824000.

The previous prime is 51969587. The next prime is 51969601. The reversal of 51969600 is 696915.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 35712576 = 4032^2 + 5976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (51969601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129400 + ... + 129800.

Almost surely, 2^51969600 is an apocalyptic number.

51969600 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 51969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95751777).

51969600 is an abundant number, since it is smaller than the sum of its proper divisors (139533954).

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

51969600 is a wasteful number, since it uses less digits than its factorization.

51969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 51969600 is about 7208.9943820203. The cubic root of 51969600 is about 373.1783653881.

The spelling of 51969600 in words is "fifty-one million, nine hundred sixty-nine thousand, six hundred".