1036147968 has 216 divisors, whose sum is σ = 3137621760. Its totient is φ = 328458240.

The previous prime is 1036147961. The next prime is 1036147969. The reversal of 1036147968 is 8697416301.

It is a happy number.

It is a super-3 number, since 3×1036147968³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036147961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6356655 + ... + 6356817.

Almost surely, 2^1036147968 is an apocalyptic number.

1036147968 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 1036147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568810880).

1036147968 is an abundant number, since it is smaller than the sum of its proper divisors (2101473792).

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

1036147968 is a wasteful number, since it uses less digits than its factorization.

1036147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1036147968 is about 32189.2523678323. The cubic root of 1036147968 is about 1011.9069836967.

The spelling of 1036147968 in words is "one billion, thirty-six million, one hundred forty-seven thousand, nine hundred sixty-eight".