1962144 has 60 divisors (see below), whose sum is σ = 5778234. Its totient is φ = 653184.

The previous prime is 1962139. The next prime is 1962161. The reversal of 1962144 is 4412691.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 374544 = 1260^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2214 + ... + 2970.

2^1962144 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 1962144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889117).

1962144 is an abundant number, since it is smaller than the sum of its proper divisors (3816090).

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

1962144 is an equidigital number, since it uses as much as digits as its factorization.

1962144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1962144 is about 1400.7655050007. The cubic root of 1962144 is about 125.1921099323.

The spelling of 1962144 in words is "one million, nine hundred sixty-two thousand, one hundred forty-four".