1538320 has 80 divisors (see below), whose sum is σ = 4249728. Its totient is φ = 506880.

The previous prime is 1538311. The next prime is 1538321. The reversal of 1538320 is 238351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1538291 and 1538300.

It is not an unprimeable number, because it can be changed into a prime (1538321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22927 + ... + 22993.

2^1538320 is an apocalyptic number.

1538320 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 1538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864).

1538320 is an abundant number, since it is smaller than the sum of its proper divisors (2711408).

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

1538320 is a wasteful number, since it uses less digits than its factorization.

1538320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1538320 is about 1240.2902886018. The cubic root of 1538320 is about 115.4380270098.

Subtracting from 1538320 its product of nonzero digits (720), we obtain a square (1537600 = 1240²).

The spelling of 1538320 in words is "one million, five hundred thirty-eight thousand, three hundred twenty".