1335607056 has 400 divisors, whose sum is σ = 4761909504. Its totient is φ = 353092608.

The previous prime is 1335606997. The next prime is 1335607061. The reversal of 1335607056 is 6507065331.

It is a happy number.

1335607056 is a `hidden beast` number, since 13 + 35 + 607 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1335607056.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7720186 + ... + 7720358.

Almost surely, 2^1335607056 is an apocalyptic number.

1335607056 is a gapful number since it is divisible by the number (16) 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 1335607056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380954752).

1335607056 is an abundant number, since it is smaller than the sum of its proper divisors (3426302448).

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

1335607056 is a wasteful number, since it uses less digits than its factorization.

1335607056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 1335607056 is about 36545.9581349292. The cubic root of 1335607056 is about 1101.2676999049.

The spelling of 1335607056 in words is "one billion, three hundred thirty-five million, six hundred seven thousand, fifty-six".