1361664 has 72 divisors (see below), whose sum is σ = 4047120. Its totient is φ = 451584.

The previous prime is 1361629. The next prime is 1361677. The reversal of 1361664 is 4661631.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6814 + ... + 7010.

It is an arithmetic number, because the mean of its divisors is an integer number (56210).

2^1361664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023560).

1361664 is an abundant number, since it is smaller than the sum of its proper divisors (2685456).

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

1361664 is an equidigital number, since it uses as much as digits as its factorization.

1361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1361664 is about 1166.9035949897. The cubic root of 1361664 is about 110.8383329508.

It can be divided in two parts, 1361 and 664, that added together give a square (2025 = 45²).

The spelling of 1361664 in words is "one million, three hundred sixty-one thousand, six hundred sixty-four".