1007712 has 36 divisors (see below), whose sum is σ = 2866500. Its totient is φ = 335808.

The previous prime is 1007711. The next prime is 1007719. The reversal of 1007712 is 2177001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1462 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (79625).

2^1007712 is an apocalyptic number.

1007712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007712 is an abundant number, since it is smaller than the sum of its proper divisors (1858788).

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

1007712 is a wasteful number, since it uses less digits than its factorization.

1007712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1007712 is about 1003.8485941615. The cubic root of 1007712 is about 100.2564086508.

The spelling of 1007712 in words is "one million, seven thousand, seven hundred twelve".