1007864 has 32 divisors (see below), whose sum is σ = 2222640. Its totient is φ = 422400.

The previous prime is 1007861. The next prime is 1007873. The reversal of 1007864 is 4687001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 704 + ... + 1584.

2^1007864 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 1007864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111320).

1007864 is an abundant number, since it is smaller than the sum of its proper divisors (1214776).

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

1007864 is a wasteful number, since it uses less digits than its factorization.

1007864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1007864 is about 1003.9242999350. The cubic root of 1007864 is about 100.2614491809.

The spelling of 1007864 in words is "one million, seven thousand, eight hundred sixty-four".