1964897920 has 128 divisors (see below), whose sum is σ = 4969440000. Its totient is φ = 740855808.

The previous prime is 1964897917. The next prime is 1964897923. The reversal of 1964897920 is 297984691.

It is an interprime number because it is at equal distance from previous prime (1964897917) and next prime (1964897923).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1964897923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4243609 + ... + 4244071.

It is an arithmetic number, because the mean of its divisors is an integer number (38823750).

Almost surely, 2^1964897920 is an apocalyptic number.

1964897920 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 1964897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484720000).

1964897920 is an abundant number, since it is smaller than the sum of its proper divisors (3004542080).

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

1964897920 is a wasteful number, since it uses less digits than its factorization.

1964897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The square root of 1964897920 is about 44327.1690952626. The cubic root of 1964897920 is about 1252.5065267660.

The spelling of 1964897920 in words is "one billion, nine hundred sixty-four million, eight hundred ninety-seven thousand, nine hundred twenty".