1359504 has 50 divisors (see below), whose sum is σ = 3938550. Its totient is φ = 452736.

The previous prime is 1359499. The next prime is 1359509. The reversal of 1359504 is 4059531.

It is an interprime number because it is at equal distance from previous prime (1359499) and next prime (1359509).

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 32400 = 1152^2 + 180^2 .

It is a super-2 number, since 2×1359504² = 3696502252032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1359509) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 772 + ... + 1820.

It is an arithmetic number, because the mean of its divisors is an integer number (78771).

2^1359504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1359504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969275).

1359504 is an abundant number, since it is smaller than the sum of its proper divisors (2579046).

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

1359504 is a wasteful number, since it uses less digits than its factorization.

1359504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1359504 is about 1165.9777013305. The cubic root of 1359504 is about 110.7796945243.

Adding to 1359504 its sum of digits (27), we get a palindrome (1359531).

The spelling of 1359504 in words is "one million, three hundred fifty-nine thousand, five hundred four".