1945944 has 192 divisors, whose sum is σ = 7338240. Its totient is φ = 466560.

The previous prime is 1945943. The next prime is 1945969. The reversal of 1945944 is 4495491.

It is a happy number.

It is a super-2 number, since 2×1945944² = 7573396102272, which contains 22 as substring.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1945899 and 1945908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149682 + ... + 149694.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2^1945944 is an apocalyptic number.

1945944 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 1945944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

1945944 is an abundant number, since it is smaller than the sum of its proper divisors (5392296).

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

1945944 is a wasteful number, since it uses less digits than its factorization.

1945944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

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

The square root of 1945944 is about 1394.9709674398. The cubic root of 1945944 is about 124.8466172000.

It can be divided in two parts, 19459 and 44, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 1945944 in words is "one million, nine hundred forty-five thousand, nine hundred forty-four".