4057680 has 160 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 931840.

The previous prime is 4057673. The next prime is 4057681. The reversal of 4057680 is 867504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76534 + ... + 76586.

It is an arithmetic number, because the mean of its divisors is an integer number (90396).

Almost surely, 2^4057680 is an apocalyptic number.

4057680 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 4057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

4057680 is an abundant number, since it is smaller than the sum of its proper divisors (10405680).

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

4057680 is a wasteful number, since it uses less digits than its factorization.

4057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4057680 is about 2014.3683873612. The cubic root of 4057680 is about 159.4994775322.

The spelling of 4057680 in words is "four million, fifty-seven thousand, six hundred eighty".