4761936 has 80 divisors (see below), whose sum is σ = 13947520. Its totient is φ = 1555200.

The previous prime is 4761923. The next prime is 4761947. The reversal of 4761936 is 6391674.

4761936 is a `hidden beast` number, since 4 + 7 + 619 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4761936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31461 + ... + 31611.

It is an arithmetic number, because the mean of its divisors is an integer number (174344).

Almost surely, 2^4761936 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 4761936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973760).

4761936 is an abundant number, since it is smaller than the sum of its proper divisors (9185584).

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

4761936 is a wasteful number, since it uses less digits than its factorization.

4761936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4761936 is about 2182.1860598950. The cubic root of 4761936 is about 168.2394544560.

The spelling of 4761936 in words is "four million, seven hundred sixty-one thousand, nine hundred thirty-six".