1136436480 has 360 divisors, whose sum is σ = 4144655592. Its totient is φ = 297271296.

The previous prime is 1136436443. The next prime is 1136436491. The reversal of 1136436480 is 846346311.

It is a happy number.

1136436480 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 1135420416 = 1008^2 + 33696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10056904 + ... + 10057016.

Almost surely, 2^1136436480 is an apocalyptic number.

1136436480 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 1136436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072327796).

1136436480 is an abundant number, since it is smaller than the sum of its proper divisors (3008219112).

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

1136436480 is an equidigital number, since it uses as much as digits as its factorization.

1136436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1136436480 is about 33711.0735515795. The cubic root of 1136436480 is about 1043.5543083707.

The spelling of 1136436480 in words is "one billion, one hundred thirty-six million, four hundred thirty-six thousand, four hundred eighty".