4877640 has 96 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1222656.

The previous prime is 4877617. The next prime is 4877651. The reversal of 4877640 is 467784.

It is a happy number.

4877640 is a `hidden beast` number, since 4 + 8 + 7 + 7 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4384836 + 492804 = 2094^2 + 702^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4877595 and 4877604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5722 + ... + 6518.

Almost surely, 2^4877640 is an apocalyptic number.

4877640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4877640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

4877640 is an abundant number, since it is smaller than the sum of its proper divisors (11928240).

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

4877640 is a wasteful number, since it uses less digits than its factorization.

4877640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4877640 is about 2208.5379779393. The cubic root of 4877640 is about 169.5911744844.

The spelling of 4877640 in words is "four million, eight hundred seventy-seven thousand, six hundred forty".