1135108720 has 80 divisors (see below), whose sum is σ = 2737949760. Its totient is φ = 437133312.

The previous prime is 1135108693. The next prime is 1135108721. The reversal of 1135108720 is 278015311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135108721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560997 + ... + 1561723.

It is an arithmetic number, because the mean of its divisors is an integer number (34224372).

Almost surely, 2^1135108720 is an apocalyptic number.

1135108720 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 1135108720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368974880).

1135108720 is an abundant number, since it is smaller than the sum of its proper divisors (1602841040).

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

1135108720 is a wasteful number, since it uses less digits than its factorization.

1135108720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1135108720 is about 33691.3745638257. The cubic root of 1135108720 is about 1043.1477364055.

The spelling of 1135108720 in words is "one billion, one hundred thirty-five million, one hundred eight thousand, seven hundred twenty".