1335991920 has 160 divisors (see below), whose sum is σ = 4479141888. Its totient is φ = 328126464.

The previous prime is 1335991919. The next prime is 1335991931. The reversal of 1335991920 is 291995331.

1335991920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1335991920³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188277 + ... + 195243.

Almost surely, 2^1335991920 is an apocalyptic number.

1335991920 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 1335991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239570944).

1335991920 is an abundant number, since it is smaller than the sum of its proper divisors (3143149968).

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

1335991920 is a wasteful number, since it uses less digits than its factorization.

1335991920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The square root of 1335991920 is about 36551.2232353447. The cubic root of 1335991920 is about 1101.3734689348.

The spelling of 1335991920 in words is "one billion, three hundred thirty-five million, nine hundred ninety-one thousand, nine hundred twenty".