1936144 has 40 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 812928.

The previous prime is 1936133. The next prime is 1936153. The reversal of 1936144 is 4416391.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 6462 + ... + 6754.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

2^1936144 is an apocalyptic number.

1936144 is a gapful number since it is divisible by the number (14) 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 1936144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

1936144 is an abundant number, since it is smaller than the sum of its proper divisors (2438576).

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

1936144 is a wasteful number, since it uses less digits than its factorization.

1936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 1936144 is about 1391.4539158736. The cubic root of 1936144 is about 124.6366836999.

It can be divided in two parts, 1936 and 144, that multiplied together give a square (278784 = 528²).

The spelling of 1936144 in words is "one million, nine hundred thirty-six thousand, one hundred forty-four".