1964448 has 72 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 618624.

The previous prime is 1964447. The next prime is 1964461. The reversal of 1964448 is 8444691.

It is a happy number.

1964448 is a `hidden beast` number, since 1 + 9 + 644 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is not an unprimeable number, because it can be changed into a prime (1964447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5293 + ... + 5651.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^1964448 is an apocalyptic number.

1964448 is a gapful number since it is divisible by the number (18) 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 1964448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

1964448 is an abundant number, since it is smaller than the sum of its proper divisors (3932352).

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

1964448 is a wasteful number, since it uses less digits than its factorization.

1964448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1964448 is about 1401.5876711787. The cubic root of 1964448 is about 125.2410920314.

The spelling of 1964448 in words is "one million, nine hundred sixty-four thousand, four hundred forty-eight".