51696900 has 144 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 13420800.

The previous prime is 51696877. The next prime is 51696901. The reversal of 51696900 is 969615.

It is a super-2 number, since 2×51696900² = 5345138939220000, which contains 22 as substring.

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 (51696901) 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, 110467 + ... + 110933.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^51696900 is an apocalyptic number.

51696900 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 51696900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

51696900 is an abundant number, since it is smaller than the sum of its proper divisors (118917180).

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

51696900 is a wasteful number, since it uses less digits than its factorization.

51696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

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

The square root of 51696900 is about 7190.0556326081. The cubic root of 51696900 is about 372.5244942829.

The spelling of 51696900 in words is "fifty-one million, six hundred ninety-six thousand, nine hundred".