1065919680 has 336 divisors, whose sum is σ = 4306336320. Its totient is φ = 236888064.

The previous prime is 1065919667. The next prime is 1065919697. The reversal of 1065919680 is 869195601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1065919680² = 2272369528422604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 745206 + ... + 746634.

Almost surely, 2^1065919680 is an apocalyptic number.

1065919680 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 1065919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153168160).

1065919680 is an abundant number, since it is smaller than the sum of its proper divisors (3240416640).

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

1065919680 is a wasteful number, since it uses less digits than its factorization.

1065919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1065919680 is about 32648.4253831636. The cubic root of 1065919680 is about 1021.5073446068.

The spelling of 1065919680 in words is "one billion, sixty-five million, nine hundred nineteen thousand, six hundred eighty".