1836067968 has 192 divisors, whose sum is σ = 6122937600. Its totient is φ = 517238784.

The previous prime is 1836067963. The next prime is 1836067979. The reversal of 1836067968 is 8697606381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1836067968² = 6742291166231298048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1836067963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587113 + ... + 590231.

It is an arithmetic number, because the mean of its divisors is an integer number (31890300).

Almost surely, 2^1836067968 is an apocalyptic number.

1836067968 is a gapful number since it is divisible by the number (18) 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 1836067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061468800).

1836067968 is an abundant number, since it is smaller than the sum of its proper divisors (4286869632).

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

1836067968 is a wasteful number, since it uses less digits than its factorization.

1836067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1836067968 is about 42849.3636825566. The cubic root of 1836067968 is about 1224.5116405159.

The spelling of 1836067968 in words is "one billion, eight hundred thirty-six million, sixty-seven thousand, nine hundred sixty-eight".