1065201984 has 504 divisors, whose sum is σ = 4011216768. Its totient is φ = 267079680.

The previous prime is 1065201961. The next prime is 1065202007. The reversal of 1065201984 is 4891025601.

It is an interprime number because it is at equal distance from previous prime (1065201961) and next prime (1065202007).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1065201984² = 2269310533435072512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14591772 + ... + 14591844.

Almost surely, 2^1065201984 is an apocalyptic number.

1065201984 is a gapful number since it is divisible by the number (14) 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 1065201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005608384).

1065201984 is an abundant number, since it is smaller than the sum of its proper divisors (2946014784).

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

1065201984 is a wasteful number, since it uses less digits than its factorization.

1065201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1065201984 is about 32637.4322519404. The cubic root of 1065201984 is about 1021.2780289111.

The spelling of 1065201984 in words is "one billion, sixty-five million, two hundred one thousand, nine hundred eighty-four".