1349856 has 72 divisors (see below), whose sum is σ = 3963960. Its totient is φ = 435456.

The previous prime is 1349827. The next prime is 1349867. The reversal of 1349856 is 6589431.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1349856² = 3644222441472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1349856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12330 + ... + 12438.

It is an arithmetic number, because the mean of its divisors is an integer number (55055).

2^1349856 is an apocalyptic number.

1349856 is a gapful number since it is divisible by the number (16) 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 1349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981980).

1349856 is an abundant number, since it is smaller than the sum of its proper divisors (2614104).

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

1349856 is a wasteful number, since it uses less digits than its factorization.

1349856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1349856 is about 1161.8330344761. The cubic root of 1349856 is about 110.5170151859.

The spelling of 1349856 in words is "one million, three hundred forty-nine thousand, eight hundred fifty-six".