1336688640 has 540 divisors, whose sum is σ = 5535919116. Its totient is φ = 297271296.

The previous prime is 1336688623. The next prime is 1336688651. The reversal of 1336688640 is 468866331.

It can be written as a sum of positive squares in 2 ways, for example, as 874266624 + 462422016 = 29568^2 + 21504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36126702 + ... + 36126738.

Almost surely, 2^1336688640 is an apocalyptic number.

1336688640 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 1336688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767959558).

1336688640 is an abundant number, since it is smaller than the sum of its proper divisors (4199230476).

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

1336688640 is an equidigital number, since it uses as much as digits as its factorization.

1336688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1336688640 is about 36560.7527274809. The cubic root of 1336688640 is about 1101.5648911431.

The spelling of 1336688640 in words is "one billion, three hundred thirty-six million, six hundred eighty-eight thousand, six hundred forty".