1534880 has 48 divisors (see below), whose sum is σ = 3714984. Its totient is φ = 599040.

The previous prime is 1534873. The next prime is 1534889. The reversal of 1534880 is 884351.

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 620944 = 956^2 + 788^2 .

It is a super-2 number, since 2×1534880² = 4711713228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1534889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8390 + ... + 8570.

2^1534880 is an apocalyptic number.

1534880 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 1534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492).

1534880 is an abundant number, since it is smaller than the sum of its proper divisors (2180104).

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

1534880 is a wasteful number, since it uses less digits than its factorization.

1534880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1534880 is about 1238.9027403311. The cubic root of 1534880 is about 115.3519150640.

The spelling of 1534880 in words is "one million, five hundred thirty-four thousand, eight hundred eighty".