1964961760 has 192 divisors, whose sum is σ = 5160153600. Its totient is φ = 703752192.

The previous prime is 1964961749. The next prime is 1964961793. The reversal of 1964961760 is 671694691.

It is a super-2 number, since 2×1964961760² = 7722149436524595200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10977351 + ... + 10977529.

It is an arithmetic number, because the mean of its divisors is an integer number (26875800).

Almost surely, 2^1964961760 is an apocalyptic number.

1964961760 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 1964961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580076800).

1964961760 is an abundant number, since it is smaller than the sum of its proper divisors (3195191840).

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

1964961760 is a wasteful number, since it uses less digits than its factorization.

1964961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 1964961760 is about 44327.8891895385. The cubic root of 1964961760 is about 1252.5200913639.

The spelling of 1964961760 in words is "one billion, nine hundred sixty-four million, nine hundred sixty-one thousand, seven hundred sixty".