1480608 has 72 divisors (see below), whose sum is σ = 4334148. Its totient is φ = 479232.

The previous prime is 1480601. The next prime is 1480621. The reversal of 1480608 is 8060841.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 11664 = 1212^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1480601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15216 + ... + 15312.

2^1480608 is an apocalyptic number.

1480608 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 1480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167074).

1480608 is an abundant number, since it is smaller than the sum of its proper divisors (2853540).

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

1480608 is a wasteful number, since it uses less digits than its factorization.

1480608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1480608 is about 1216.8023668616. The cubic root of 1480608 is about 113.9759875556.

The spelling of 1480608 in words is "one million, four hundred eighty thousand, six hundred eight".