1964117960 has 48 divisors (see below), whose sum is σ = 5140783260. Its totient is φ = 673411200.

The previous prime is 1964117929. The next prime is 1964117963. The reversal of 1964117960 is 697114691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1779321124 + 184796836 = 42182^2 + 13594^2 .

It is a super-3 number, since 3×1964117960³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1964117963) 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, 499091 + ... + 503010.

Almost surely, 2^1964117960 is an apocalyptic number.

1964117960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1964117960 is an abundant number, since it is smaller than the sum of its proper divisors (3176665300).

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

1964117960 is a wasteful number, since it uses less digits than its factorization.

1964117960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002126 (or 1002115 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 1964117960 is about 44318.3704574074. The cubic root of 1964117960 is about 1252.3407786680.

The spelling of 1964117960 in words is "one billion, nine hundred sixty-four million, one hundred seventeen thousand, nine hundred sixty".