1964014080 has 480 divisors, whose sum is σ = 7758628416. Its totient is φ = 421134336.

The previous prime is 1964014061. The next prime is 1964014093. The reversal of 1964014080 is 804104691.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1964014080³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397287 + ... + 6397593.

Almost surely, 2^1964014080 is an apocalyptic number.

1964014080 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 1964014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879314208).

1964014080 is an abundant number, since it is smaller than the sum of its proper divisors (5794614336).

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

1964014080 is a wasteful number, since it uses less digits than its factorization.

1964014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1964014080 is about 44317.1984674122. The cubic root of 1964014080 is about 1252.3186999782.

The spelling of 1964014080 in words is "one billion, nine hundred sixty-four million, fourteen thousand, eighty".