1964000 has 48 divisors (see below), whose sum is σ = 4835376. Its totient is φ = 784000.

The previous prime is 1963999. The next prime is 1964009. The reversal of 1964000 is 4691.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964009) 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, 3755 + ... + 4245.

It is an arithmetic number, because the mean of its divisors is an integer number (100737).

2^1964000 is an apocalyptic number.

1964000 is a gapful number since it is divisible by the number (10) 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 1964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417688).

1964000 is an abundant number, since it is smaller than the sum of its proper divisors (2871376).

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

1964000 is an equidigital number, since it uses as much as digits as its factorization.

1964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1964000 is about 1401.4278433084. The cubic root of 1964000 is about 125.2315707350.

Adding to 1964000 its reverse (4691), we get a palindrome (1968691).

The spelling of 1964000 in words is "one million, nine hundred sixty-four thousand".