1336057920 has 168 divisors, whose sum is σ = 4682724696. Its totient is φ = 349519872.

The previous prime is 1336057909. The next prime is 1336057937. The reversal of 1336057920 is 297506331.

1336057920 is a `hidden beast` number, since 1 + 3 + 3 + 60 + 579 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 484352064 + 851705856 = 22008^2 + 29184^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148264 + ... + 157016.

Almost surely, 2^1336057920 is an apocalyptic number.

1336057920 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 1336057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341362348).

1336057920 is an abundant number, since it is smaller than the sum of its proper divisors (3346666776).

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

1336057920 is a wasteful number, since it uses less digits than its factorization.

1336057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1336057920 is about 36552.1260667557. The cubic root of 1336057920 is about 1101.3916051353.

The spelling of 1336057920 in words is "one billion, three hundred thirty-six million, fifty-seven thousand, nine hundred twenty".