1135634720 has 96 divisors (see below), whose sum is σ = 2967269760. Its totient is φ = 407255040.

The previous prime is 1135634713. The next prime is 1135634723. The reversal of 1135634720 is 274365311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1135634723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124061 + ... + 132899.

It is an arithmetic number, because the mean of its divisors is an integer number (30909060).

Almost surely, 2^1135634720 is an apocalyptic number.

1135634720 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 1135634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483634880).

1135634720 is an abundant number, since it is smaller than the sum of its proper divisors (1831635040).

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

1135634720 is a wasteful number, since it uses less digits than its factorization.

1135634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1135634720 is about 33699.1798119776. The cubic root of 1135634720 is about 1043.3088402034.

The spelling of 1135634720 in words is "one billion, one hundred thirty-five million, six hundred thirty-four thousand, seven hundred twenty".