1136791040 has 320 divisors, whose sum is σ = 3488348160. Its totient is φ = 345047040.

The previous prime is 1136791027. The next prime is 1136791093. The reversal of 1136791040 is 401976311.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 1136790988 and 1136791006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14389721 + ... + 14389799.

It is an arithmetic number, because the mean of its divisors is an integer number (10901088).

Almost surely, 2^1136791040 is an apocalyptic number.

1136791040 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 1136791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744174080).

1136791040 is an abundant number, since it is smaller than the sum of its proper divisors (2351557120).

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

1136791040 is an equidigital number, since it uses as much as digits as its factorization.

1136791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 1136791040 is about 33716.3319475888. The cubic root of 1136791040 is about 1043.6628242298.

The spelling of 1136791040 in words is "one billion, one hundred thirty-six million, seven hundred ninety-one thousand, forty".