4007960 has 32 divisors (see below), whose sum is σ = 9838800. Its totient is φ = 1457280.

The previous prime is 4007953. The next prime is 4007963. The reversal of 4007960 is 697004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4115 + ... + 4994.

Almost surely, 2^4007960 is an apocalyptic number.

4007960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007960 is an abundant number, since it is smaller than the sum of its proper divisors (5830840).

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

4007960 is a wasteful number, since it uses less digits than its factorization.

4007960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4007960 is about 2001.9890109589. The cubic root of 4007960 is about 158.8453330296.

The spelling of 4007960 in words is "four million, seven thousand, nine hundred sixty".