4681040 has 80 divisors (see below), whose sum is σ = 13415808. Its totient is φ = 1479168.

The previous prime is 4681037. The next prime is 4681043. The reversal of 4681040 is 401864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4681037) and next prime (4681043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4680997 and 4681015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681043) 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, 6959 + ... + 7601.

Almost surely, 2^4681040 is an apocalyptic number.

4681040 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 4681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707904).

4681040 is an abundant number, since it is smaller than the sum of its proper divisors (8734768).

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

4681040 is a wasteful number, since it uses less digits than its factorization.

4681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4681040 is about 2163.5711220110. The cubic root of 4681040 is about 167.2813215210.

The spelling of 4681040 in words is "four million, six hundred eighty-one thousand, forty".