4013760 has 112 divisors (see below), whose sum is σ = 13203936. Its totient is φ = 1032192.

The previous prime is 4013729. The next prime is 4013761. The reversal of 4013760 is 673104.

It is a super-2 number, since 2×4013760² = 32220538675200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35464 + ... + 35576.

Almost surely, 2^4013760 is an apocalyptic number.

4013760 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 4013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601968).

4013760 is an abundant number, since it is smaller than the sum of its proper divisors (9190176).

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

4013760 is a wasteful number, since it uses less digits than its factorization.

4013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 4013760 is about 2003.4370466775. The cubic root of 4013760 is about 158.9219188635.

Adding to 4013760 its reverse (673104), we get a palindrome (4686864).

The spelling of 4013760 in words is "four million, thirteen thousand, seven hundred sixty".