1964162000 has 60 divisors (see below), whose sum is σ = 4754141028. Its totient is φ = 784872000.

The previous prime is 1964161999. The next prime is 1964162009. The reversal of 1964162000 is 2614691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 62853184 + 1901308816 = 7928^2 + 43604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964162009) 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, 1981505 + ... + 1982495.

Almost surely, 2^1964162000 is an apocalyptic number.

1964162000 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 1964162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377070514).

1964162000 is an abundant number, since it is smaller than the sum of its proper divisors (2789979028).

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

1964162000 is an frugal number, since it uses more digits than its factorization.

1964162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1964162000 is about 44318.8673140458. The cubic root of 1964162000 is about 1252.3501387093.

Adding to 1964162000 its reverse (2614691), we get a palindrome (1966776691).

The spelling of 1964162000 in words is "one billion, nine hundred sixty-four million, one hundred sixty-two thousand".