1367712 has 48 divisors (see below), whose sum is σ = 3991680. Its totient is φ = 455616.

The previous prime is 1367711. The next prime is 1367713. The reversal of 1367712 is 2177631.

It is an interprime number because it is at equal distance from previous prime (1367711) and next prime (1367713).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1367712² = 3741272229888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1367711) 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, 73 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2^1367712 is an apocalyptic number.

1367712 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 1367712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995840).

1367712 is an abundant number, since it is smaller than the sum of its proper divisors (2623968).

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

1367712 is a wasteful number, since it uses less digits than its factorization.

1367712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1588 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 1367712 is about 1169.4921974943. The cubic root of 1367712 is about 111.0021913373.

It can be divided in two parts, 13677 and 12, that added together give a square (13689 = 117²).

The spelling of 1367712 in words is "one million, three hundred sixty-seven thousand, seven hundred twelve".