1136790720 has 448 divisors, whose sum is σ = 4480560000. Its totient is φ = 269402112.

The previous prime is 1136790719. The next prime is 1136790737. The reversal of 1136790720 is 270976311.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257106 + ... + 3257454.

It is an arithmetic number, because the mean of its divisors is an integer number (10001250).

Almost surely, 2^1136790720 is an apocalyptic number.

1136790720 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 1136790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280000).

1136790720 is an abundant number, since it is smaller than the sum of its proper divisors (3343769280).

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

1136790720 is a wasteful number, since it uses less digits than its factorization.

1136790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1136790720 is about 33716.3272021138. The cubic root of 1136790720 is about 1043.6627263014.

The spelling of 1136790720 in words is "one billion, one hundred thirty-six million, seven hundred ninety thousand, seven hundred twenty".