4008960 has 176 divisors, whose sum is σ = 14738400. Its totient is φ = 1032192.

The previous prime is 4008947. The next prime is 4008967. The reversal of 4008960 is 698004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4008967) 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, 138226 + ... + 138254.

Almost surely, 2^4008960 is an apocalyptic number.

4008960 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 4008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369200).

4008960 is an abundant number, since it is smaller than the sum of its proper divisors (10729440).

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

4008960 is a wasteful number, since it uses less digits than its factorization.

4008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4008960 is about 2002.2387470030. The cubic root of 4008960 is about 158.8585427526.

The spelling of 4008960 in words is "four million, eight thousand, nine hundred sixty".