1538941680 has 400 divisors, whose sum is σ = 5669351424. Its totient is φ = 386311680.

The previous prime is 1538941673. The next prime is 1538941681. The reversal of 1538941680 is 861498351.

1538941680 is a `hidden beast` number, since 153 + 8 + 9 + 416 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538941681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9441279 + ... + 9441441.

Almost surely, 2^1538941680 is an apocalyptic number.

1538941680 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 1538941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834675712).

1538941680 is an abundant number, since it is smaller than the sum of its proper divisors (4130409744).

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

1538941680 is a wasteful number, since it uses less digits than its factorization.

1538941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1538941680 is about 39229.3471778463. The cubic root of 1538941680 is about 1154.5357554051.

The spelling of 1538941680 in words is "one billion, five hundred thirty-eight million, nine hundred forty-one thousand, six hundred eighty".