2007964 has 12 divisors (see below), whose sum is σ = 4015984. Its totient is φ = 860544.

The previous prime is 2007961. The next prime is 2007979. The reversal of 2007964 is 4697002.

2007964 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 71713 = 2007964 / (2 + 0 + 0 + 7 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35829 + ... + 35884.

2^2007964 is an apocalyptic number.

It is an amenable number.

2007964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2007964 is a wasteful number, since it uses less digits than its factorization.

2007964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71724 (or 71722 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2007964 is about 1417.0264641142. The cubic root of 2007964 is about 126.1591170253.

The spelling of 2007964 in words is "two million, seven thousand, nine hundred sixty-four".