1007964 has 72 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 311040.

The previous prime is 1007959. The next prime is 1007971. The reversal of 1007964 is 4697001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16494 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2^1007964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

1007964 is an abundant number, since it is smaller than the sum of its proper divisors (1835604).

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

1007964 is a wasteful number, since it uses less digits than its factorization.

1007964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1007964 is about 1003.9741032517. The cubic root of 1007964 is about 100.2647650427.

The spelling of 1007964 in words is "one million, seven thousand, nine hundred sixty-four".