1007664 has 40 divisors (see below), whose sum is σ = 2976000. Its totient is φ = 287808.

The previous prime is 1007651. The next prime is 1007681. The reversal of 1007664 is 4667001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1164 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

2^1007664 is an apocalyptic number.

1007664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007664 is an abundant number, since it is smaller than the sum of its proper divisors (1968336).

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

1007664 is a wasteful number, since it uses less digits than its factorization.

1007664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1007664 is about 1003.8246858889. The cubic root of 1007664 is about 100.2548167991.

The spelling of 1007664 in words is "one million, seven thousand, six hundred sixty-four".