1964819136 has 112 divisors (see below), whose sum is σ = 6146231040. Its totient is φ = 542008320.

The previous prime is 1964819111. The next prime is 1964819147. The reversal of 1964819136 is 6319184691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13771 + ... + 64181.

Almost surely, 2^1964819136 is an apocalyptic number.

1964819136 is a gapful number since it is divisible by the number (16) 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 1964819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073115520).

1964819136 is an abundant number, since it is smaller than the sum of its proper divisors (4181411904).

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

1964819136 is a wasteful number, since it uses less digits than its factorization.

1964819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50462 (or 50452 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 1964819136 is about 44326.2804214385. The cubic root of 1964819136 is about 1252.4897864913.

The spelling of 1964819136 in words is "one billion, nine hundred sixty-four million, eight hundred nineteen thousand, one hundred thirty-six".