1350000 has 120 divisors (see below), whose sum is σ = 4843440. Its totient is φ = 360000.

The previous prime is 1349993. The next prime is 1350001. The reversal of 1350000 is 531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269998 + ... + 270002.

It is an arithmetic number, because the mean of its divisors is an integer number (40362).

2^1350000 is an apocalyptic number.

1350000 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 1350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421720).

1350000 is an abundant number, since it is smaller than the sum of its proper divisors (3493440).

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

1350000 is an frugal number, since it uses more digits than its factorization.

1350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1350000 is about 1161.8950038622. The cubic root of 1350000 is about 110.5209449592.

Multiplying 1350000 by its product of nonzero digits (15), we get a square (20250000 = 4500²).

1350000 divided by its product of nonzero digits (15) gives a square (90000 = 300²).

Adding to 1350000 its reverse (531), we get a palindrome (1350531).

The spelling of 1350000 in words is "one million, three hundred fifty thousand".