1135824672 has 192 divisors, whose sum is σ = 3311642880. Its totient is φ = 339247104.

The previous prime is 1135824671. The next prime is 1135824673. The reversal of 1135824672 is 2764285311.

It is an interprime number because it is at equal distance from previous prime (1135824671) and next prime (1135824673).

It is a self number, because there is not a number n which added to its sum of digits gives 1135824672.

It is not an unprimeable number, because it can be changed into a prime (1135824671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4874668 + ... + 4874900.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 2^1135824672 is an apocalyptic number.

1135824672 is a gapful number since it is divisible by the number (12) 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 1135824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655821440).

1135824672 is an abundant number, since it is smaller than the sum of its proper divisors (2175818208).

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

1135824672 is a wasteful number, since it uses less digits than its factorization.

1135824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1135824672 is about 33701.9980416592. The cubic root of 1135824672 is about 1043.3670066628.

The spelling of 1135824672 in words is "one billion, one hundred thirty-five million, eight hundred twenty-four thousand, six hundred seventy-two".