51604672 has 56 divisors (see below), whose sum is σ = 118083584. Its totient is φ = 21917952.

The previous prime is 51604667. The next prime is 51604697. The reversal of 51604672 is 27640615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-4 number, since 4×51604672⁴ (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56443 + ... + 57349.

Almost surely, 2^51604672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59041792).

51604672 is an abundant number, since it is smaller than the sum of its proper divisors (66478912).

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

51604672 is a wasteful number, since it uses less digits than its factorization.

51604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 51604672 is about 7183.6391891575. The cubic root of 51604672 is about 372.3028327611.

The spelling of 51604672 in words is "fifty-one million, six hundred four thousand, six hundred seventy-two".