1109687040 has 720 divisors, whose sum is σ = 4986051840. Its totient is φ = 228925440.

The previous prime is 1109687027. The next prime is 1109687041. The reversal of 1109687040 is 407869011.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1109686986 and 1109687004.

It is not an unprimeable number, because it can be changed into a prime (1109687041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983291 + ... + 7983429.

It is an arithmetic number, because the mean of its divisors is an integer number (6925072).

Almost surely, 2^1109687040 is an apocalyptic number.

1109687040 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 1109687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493025920).

1109687040 is an abundant number, since it is smaller than the sum of its proper divisors (3876364800).

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

1109687040 is a wasteful number, since it uses less digits than its factorization.

1109687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1109687040 is about 33311.9654178495. The cubic root of 1109687040 is about 1035.3014874698.

The spelling of 1109687040 in words is "one billion, one hundred nine million, six hundred eighty-seven thousand, forty".