4078960 has 40 divisors (see below), whose sum is σ = 9637776. Its totient is φ = 1605120.

The previous prime is 4078951. The next prime is 4078969. The reversal of 4078960 is 698704.

It is an interprime number because it is at equal distance from previous prime (4078951) and next prime (4078969).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4980 + ... + 5740.

Almost surely, 2^4078960 is an apocalyptic number.

4078960 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 4078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818888).

4078960 is an abundant number, since it is smaller than the sum of its proper divisors (5558816).

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

4078960 is a wasteful number, since it uses less digits than its factorization.

4078960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4078960 is about 2019.6435329038. The cubic root of 4078960 is about 159.7778166087. Note that the first 3 decimals are identical.

The spelling of 4078960 in words is "four million, seventy-eight thousand, nine hundred sixty".