51760962 has 48 divisors (see below), whose sum is σ = 123057792. Its totient is φ = 15593760.

The previous prime is 51760957. The next prime is 51760967. The reversal of 51760962 is 26906715.

51760962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51760957) and next prime (51760967).

It is not an unprimeable number, because it can be changed into a prime (51760967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38343 + ... + 39669.

It is an arithmetic number, because the mean of its divisors is an integer number (2563704).

It is a vampire number, since it can be written as 6501 ⋅ 7962 (with its own digits).

Almost surely, 2^51760962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51760962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61528896).

51760962 is an abundant number, since it is smaller than the sum of its proper divisors (71296830).

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

51760962 is a wasteful number, since it uses less digits than its factorization.

51760962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 51760962 is about 7194.5091562941. The cubic root of 51760962 is about 372.6783062997.

The spelling of 51760962 in words is "fifty-one million, seven hundred sixty thousand, nine hundred sixty-two".