51637620 has 48 divisors (see below), whose sum is σ = 146341440. Its totient is φ = 13602816.

The previous prime is 51637601. The next prime is 51637627. The reversal of 51637620 is 2673615.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51637627) 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, 205 + ... + 10164.

It is an arithmetic number, because the mean of its divisors is an integer number (3048780).

Almost surely, 2^51637620 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 51637620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73170720).

51637620 is an abundant number, since it is smaller than the sum of its proper divisors (94703820).

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

51637620 is a wasteful number, since it uses less digits than its factorization.

51637620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 51637620 is about 7185.9320898545. The cubic root of 51637620 is about 372.3820505500.

The spelling of 51637620 in words is "fifty-one million, six hundred thirty-seven thousand, six hundred twenty".