1335120 has 40 divisors (see below), whose sum is σ = 4139616. Its totient is φ = 355968.

The previous prime is 1335079. The next prime is 1335137. The reversal of 1335120 is 215331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1335120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2542 + ... + 3021.

2^1335120 is an apocalyptic number.

1335120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1335120 is an abundant number, since it is smaller than the sum of its proper divisors (2804496).

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

1335120 is a wasteful number, since it uses less digits than its factorization.

1335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1335120 is about 1155.4739287409. The cubic root of 1335120 is about 110.1133817150.

It can be divided in two parts, 133 and 5120, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 1335120 in words is "one million, three hundred thirty-five thousand, one hundred twenty".