4953936 has 80 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1431552.

The previous prime is 4953931. The next prime is 4953943. The reversal of 4953936 is 6393594.

4953936 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4953894 and 4953903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10375 + ... + 10841.

Almost surely, 2^4953936 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 4953936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4953936 is an abundant number, since it is smaller than the sum of its proper divisors (9670128).

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

4953936 is a wasteful number, since it uses less digits than its factorization.

4953936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 4953936 is about 2225.7439205803. The cubic root of 4953936 is about 170.4708515342.

The spelling of 4953936 in words is "four million, nine hundred fifty-three thousand, nine hundred thirty-six".