51198336 has 144 divisors (see below), whose sum is σ = 171571140. Its totient is φ = 14611968.

The previous prime is 51198319. The next prime is 51198377. The reversal of 51198336 is 63389115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 51198336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55995 + ... + 56901.

Almost surely, 2^51198336 is an apocalyptic number.

51198336 is a gapful number since it is divisible by the number (56) 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 51198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85785570).

51198336 is an abundant number, since it is smaller than the sum of its proper divisors (120372804).

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

51198336 is a wasteful number, since it uses less digits than its factorization.

51198336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 919 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 51198336 is about 7155.3012515197. The cubic root of 51198336 is about 371.3230839351.

The spelling of 51198336 in words is "fifty-one million, one hundred ninety-eight thousand, three hundred thirty-six".