1538960 has 20 divisors (see below), whose sum is σ = 3578268. Its totient is φ = 615552.

The previous prime is 1538951. The next prime is 1538963. The reversal of 1538960 is 698351.

1538960 = T₂₉₄ + T₂₉₅ + ... + T₃₂₅.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 1183744 = 596^2 + 1088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1538963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9539 + ... + 9698.

2^1538960 is an apocalyptic number.

1538960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1538960 is an abundant number, since it is smaller than the sum of its proper divisors (2039308).

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

1538960 is a wasteful number, since it uses less digits than its factorization.

1538960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19250 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1538960 is about 1240.5482658889. The cubic root of 1538960 is about 115.4540336694.

The spelling of 1538960 in words is "one million, five hundred thirty-eight thousand, nine hundred sixty".