1538260672 has 224 divisors, whose sum is σ = 3705067520. Its totient is φ = 627056640.

The previous prime is 1538260649. The next prime is 1538260693. The reversal of 1538260672 is 2760628351.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21072028 + ... + 21072100.

It is an arithmetic number, because the mean of its divisors is an integer number (16540480).

Almost surely, 2^1538260672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1538260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852533760).

1538260672 is an abundant number, since it is smaller than the sum of its proper divisors (2166806848).

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

1538260672 is a wasteful number, since it uses less digits than its factorization.

1538260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1538260672 is about 39220.6663890353. Note that the first 3 decimals coincide. The cubic root of 1538260672 is about 1154.3654296761.

The spelling of 1538260672 in words is "one billion, five hundred thirty-eight million, two hundred sixty thousand, six hundred seventy-two".