1964113920 has 360 divisors, whose sum is σ = 7232001084. Its totient is φ = 509607936.

The previous prime is 1964113919. The next prime is 1964113981. The reversal of 1964113920 is 293114691.

It is a happy number.

1964113920 is a `hidden beast` number, since 1 + 9 + 641 + 1 + 3 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1916338176 + 47775744 = 43776^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53084142 + ... + 53084178.

Almost surely, 2^1964113920 is an apocalyptic number.

1964113920 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 1964113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616000542).

1964113920 is an abundant number, since it is smaller than the sum of its proper divisors (5267887164).

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

1964113920 is an frugal number, since it uses more digits than its factorization.

1964113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1964113920 is about 44318.3248780908. The cubic root of 1964113920 is about 1252.3399200196.

The spelling of 1964113920 in words is "one billion, nine hundred sixty-four million, one hundred thirteen thousand, nine hundred twenty".