1300608 has 48 divisors (see below), whose sum is σ = 3745950. Its totient is φ = 433152.

The previous prime is 1300597. The next prime is 1300609. The reversal of 1300608 is 8060031.

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 28224 = 1128^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1300609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588 + ... + 1716.

2^1300608 is an apocalyptic number.

1300608 is a gapful number since it is divisible by the number (18) 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 1300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872975).

1300608 is an abundant number, since it is smaller than the sum of its proper divisors (2445342).

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

1300608 is a wasteful number, since it uses less digits than its factorization.

1300608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1300608 is about 1140.4420195696. The cubic root of 1300608 is about 109.1563001895.

Adding to 1300608 its reverse (8060031), we get a palindrome (9360639).

The spelling of 1300608 in words is "one million, three hundred thousand, six hundred eight".