51762420 has 72 divisors (see below), whose sum is σ = 163852416. Its totient is φ = 13202112.

The previous prime is 51762413. The next prime is 51762421. The reversal of 51762420 is 2426715.

51762420 is a `hidden beast` number, since 5 + 17 + 624 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51762421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112 + ... + 10391.

It is an arithmetic number, because the mean of its divisors is an integer number (2275728).

Almost surely, 2^51762420 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 51762420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81926208).

51762420 is an abundant number, since it is smaller than the sum of its proper divisors (112089996).

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

51762420 is a wasteful number, since it uses less digits than its factorization.

51762420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12536 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 51762420 is about 7194.6104828545. The cubic root of 51762420 is about 372.6818054610.

The spelling of 51762420 in words is "fifty-one million, seven hundred sixty-two thousand, four hundred twenty".