51616560 has 80 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 13704960.

The previous prime is 51616547. The next prime is 51616567. The reversal of 51616560 is 6561615.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51616567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103191 + ... + 103689.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^51616560 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 51616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

51616560 is an abundant number, since it is smaller than the sum of its proper divisors (109087440).

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

51616560 is a wasteful number, since it uses less digits than its factorization.

51616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 51616560 is about 7184.4665772763. The cubic root of 51616560 is about 372.3314192960.

The spelling of 51616560 in words is "fifty-one million, six hundred sixteen thousand, five hundred sixty".