1135644000 has 192 divisors, whose sum is σ = 3761214912. Its totient is φ = 299520000.

The previous prime is 1135643947. The next prime is 1135644001. The reversal of 1135644000 is 4465311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135644001) 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, 1211532 + ... + 1212468.

It is an arithmetic number, because the mean of its divisors is an integer number (19589661).

Almost surely, 2^1135644000 is an apocalyptic number.

1135644000 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 1135644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880607456).

1135644000 is an abundant number, since it is smaller than the sum of its proper divisors (2625570912).

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

1135644000 is a wasteful number, since it uses less digits than its factorization.

1135644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1135644000 is about 33699.3175005073. The cubic root of 1135644000 is about 1043.3116820444.

Subtracting from 1135644000 its reverse (4465311), we obtain a square (1131178689 = 33633²).

The spelling of 1135644000 in words is "one billion, one hundred thirty-five million, six hundred forty-four thousand".