4937856 has 128 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1274880.

The previous prime is 4937843. The next prime is 4937869. The reversal of 4937856 is 6587394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4937843) and next prime (4937869).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 4⁶ + 9⁷ + 3⁵ + 7⁶ + 8⁵ + 5³ + 6 .

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, 29485 + ... + 29651.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^4937856 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 4937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

4937856 is an abundant number, since it is smaller than the sum of its proper divisors (11512704).

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

4937856 is a wasteful number, since it uses less digits than its factorization.

4937856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 4937856 is about 2222.1287091436. The cubic root of 4937856 is about 170.2862076126.

The spelling of 4937856 in words is "four million, nine hundred thirty-seven thousand, eight hundred fifty-six".