1385520 has 80 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 352000.

The previous prime is 1385507. The next prime is 1385521. The reversal of 1385520 is 255831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1385520⁴ (a number of 26 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 8⁶ + 5³ + 5⁶ + 2²⁰ + 0 .

It is not an unprimeable number, because it can be changed into a prime (1385521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5395 + ... + 5645.

2^1385520 is an apocalyptic number.

1385520 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 1385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1385520 is an abundant number, since it is smaller than the sum of its proper divisors (3114192).

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

1385520 is a wasteful number, since it uses less digits than its factorization.

1385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1385520 is about 1177.0811356912. The cubic root of 1385520 is about 111.4818755018.

The spelling of 1385520 in words is "one million, three hundred eighty-five thousand, five hundred twenty".