1392144 has 80 divisors (see below), whose sum is σ = 4083072. Its totient is φ = 405504.

The previous prime is 1392143. The next prime is 1392163. The reversal of 1392144 is 4412931.

It is a super-3 number, since 3×1392144³ = 8094196336333565952, which contains 333 as substring.

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

Its product of digits (864) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (1392143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14304 + ... + 14400.

2^1392144 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 1392144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041536).

1392144 is an abundant number, since it is smaller than the sum of its proper divisors (2690928).

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

1392144 is a wasteful number, since it uses less digits than its factorization.

1392144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1392144 is about 1179.8915204374. The cubic root of 1392144 is about 111.6592534867.

The spelling of 1392144 in words is "one million, three hundred ninety-two thousand, one hundred forty-four".