1362144 has 48 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 388992.

The previous prime is 1362131. The next prime is 1362161. The reversal of 1362144 is 4412631.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1362144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2^1362144 is an apocalyptic number.

1362144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1362144 is an abundant number, since it is smaller than the sum of its proper divisors (2726304).

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

1362144 is a wasteful number, since it uses less digits than its factorization.

1362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1362144 is about 1167.1092493850. The cubic root of 1362144 is about 110.8513552895.

Adding to 1362144 its reverse (4412631), we get a palindrome (5774775).

The spelling of 1362144 in words is "one million, three hundred sixty-two thousand, one hundred forty-four".