51996600 has 96 divisors (see below), whose sum is σ = 179118000. Its totient is φ = 13864320.

The previous prime is 51996599. The next prime is 51996647. The reversal of 51996600 is 669915.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586 + ... + 10214.

Almost surely, 2^51996600 is an apocalyptic number.

51996600 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 51996600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89559000).

51996600 is an abundant number, since it is smaller than the sum of its proper divisors (127121400).

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

51996600 is a wasteful number, since it uses less digits than its factorization.

51996600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9654 (or 9639 counting only the distinct ones).

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

The square root of 51996600 is about 7210.8667994909. The cubic root of 51996600 is about 373.2429805442.

The spelling of 51996600 in words is "fifty-one million, nine hundred ninety-six thousand, six hundred".