1950144 has 56 divisors (see below), whose sum is σ = 5900928. Its totient is φ = 556800.

The previous prime is 1950139. The next prime is 1950149. The reversal of 1950144 is 4410591.

It is an interprime number because it is at equal distance from previous prime (1950139) and next prime (1950149).

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 2069.

2^1950144 is an apocalyptic number.

1950144 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 1950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950464).

1950144 is an abundant number, since it is smaller than the sum of its proper divisors (3950784).

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

1950144 is a wasteful number, since it uses less digits than its factorization.

1950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1950144 is about 1396.4755636960. The cubic root of 1950144 is about 124.9363729516.

The spelling of 1950144 in words is "one million, nine hundred fifty thousand, one hundred forty-four".