1067712 has 56 divisors (see below), whose sum is σ = 2901696. Its totient is φ = 346368.

The previous prime is 1067711. The next prime is 1067741. The reversal of 1067712 is 2177601.

It is a super-2 number, since 2×1067712² = 2280017829888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1067711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12823 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (51816).

2^1067712 is an apocalyptic number.

1067712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450848).

1067712 is an abundant number, since it is smaller than the sum of its proper divisors (1833984).

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

1067712 is an equidigital number, since it uses as much as digits as its factorization.

1067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 1067712 is about 1033.3015048862. The cubic root of 1067712 is about 102.2079571216.

The spelling of 1067712 in words is "one million, sixty-seven thousand, seven hundred twelve".