1532839680 has 288 divisors, whose sum is σ = 5761627200. Its totient is φ = 384565248.

The previous prime is 1532839657. The next prime is 1532839691. The reversal of 1532839680 is 869382351.

It is a happy number.

1532839680 is a `hidden beast` number, since 1 + 532 + 8 + 39 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 586216 + ... + 588824.

It is an arithmetic number, because the mean of its divisors is an integer number (20005650).

Almost surely, 2^1532839680 is an apocalyptic number.

1532839680 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 1532839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880813600).

1532839680 is an abundant number, since it is smaller than the sum of its proper divisors (4228787520).

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

1532839680 is a wasteful number, since it uses less digits than its factorization.

1532839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1532839680 is about 39151.4965231216. The cubic root of 1532839680 is about 1153.0077986508.

The spelling of 1532839680 in words is "one billion, five hundred thirty-two million, eight hundred thirty-nine thousand, six hundred eighty".